What is Projectile motion: Definition and 1000 Discussions

Projectile motion is a form of motion experienced by a launched object. Ballistics (Greek: βάλλειν, romanized: ba'llein, lit. 'to throw') is the science of dynamics that deals with the flight, behavior and effects of projectiles, especially bullets, unguided bombs, rockets, or the like; the science or art of designing and accelerating projectiles so as to achieve a desired performance.

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  1. S

    Projectile Motion Problem - me verify my answer

    Homework Statement A projectile is fired at an angle of 30.0 degrees above the horizontal with an initial velocity of 800.0 m/s from the top of a cliff 80.0 meters high. How far from the base of the cliff does it strikes the level ground below? Ignore friction. Homework Equations...
  2. B

    Solving Projectile Motion Homework: Displacement, Velocity, and Equations

    Homework Statement I have been given the Horizontal Displacement (Distance), Vertical Displacement (height), and Time (secs). How would I find total displacement? Velocity? Average Horizontal Velocity? Average Vertical Velocity? Homework Equations Um something with cosine and sine...
  3. H

    Two-Dimensional Projectile Motion

    Homework Statement An artillery shell is fired at mach 2 at an enemy encampment located at a range of 1700m. The initial position of the shell is 72 meters below the encampment, and is aimed at an angle θ. Solve the problem for θ. We can get the following variables/data from this: Range =...
  4. S

    Calculating Distance to Home Plate in Projectile Motion

    Homework Statement A baseball leaves a bat at 45m/s at an angle of 36.90° above horizontal. At the point of impact with the ball, the ball is 1.000m above ground level, and as it clears the fence it is back down to 11.00m above ground level. How far is home plate from the fence at this point...
  5. J

    Projectile motion boat gun problem

    Homework Statement A speedy destroyer’s 5 inch gun fires a projectile at some angle to the horizontal. If the thing travels a distance of 23 500 m in 135 s, what was the projectile’s initial velocity? Homework Equations v=vi+at v^2=vi^2+2a(s) s=displacement s=vi*t+.5at^2 The...
  6. H

    Projectile motion with differing heights

    Homework Statement A cannon is fired at a target on a cliff that is 400 meters away. The cliff has an elevation of 150 meters relative to the cannon. The initial velocity of the cannonball is 100 m/s. Ignoring wind resistance calculate the two possible angles and their respective times. X=...
  7. L

    Projectile motion on an Inclined Plane

    A small ball is launched from the corner of an inclined plane. When the inclination of the plane θ is 70° the max range of the projectile is 50 cm. Later the inclination of the plane changes to a new unknown angle and the same projectile launcher is oriented at 30° to the horizontal line. The...
  8. 1

    Finding initial velocity for projectile motion at 0 degrees

    I am doing a projectile motion problem with my own results, and the unknown's of initial velocity and time. It is at 0 degrees, which I thought would mean I could find the vertical down of the projectile (where at an angle you find the vertical up and down because it goes up first). I have tried...
  9. P

    Projectile Motion soccer ball Problems

    1. A soccer ball is kicked so that it has a range of 30m and reaches a maximum height of 12m. What velocity (magnitude and direction) did the ball have as it left the footballer's foot? I used the equation to solve for time and got 1.55s. I'm not sure if air resistance is involved, we never...
  10. P

    Projectile motion: Finding flight distance with air resistance

    Homework Statement A ball of mass 0.9kg is shot from a slingshot at an angle of 60° from the ground. The slingshot is sitting 1m above the ground. The elasticity of the slingshot is k = 700N/m. Take gravity = 10m/s^2 Air resistance must be taken into account also. Use the formula D = (...
  11. R

    Projectile Motion from a height with Air Resistance

    Hey all, me again. This time my question has to do with projectile motion with air resistance from a given height. Homework Statement A cannon is located on a cliff of height h. If the muzzle velocity of a projectile is v0, find the range of the projectile when the drag is proportional to the...
  12. Y

    Projectile Motion above Ground

    Homework Statement 3) A projectile is launched with speed v₀ at an angle α₀ above the horizontal. The launch point is a height H above the ground. Ignore air resistance. (a.) Find the horizontal velocity of the projectile. (b.) Find the time for projectile to reach its maximum height...
  13. A

    Projectile Motion: Clearing a Fence?

    Homework Statement A ball is batted with a velocity of 30 m/s at an angle of 30 degrees above the horizontal from a height of 1.0 m above the ground. Will the ball clear a 2.5 m high fence which is 30 m away? By how much will it miss or clear? Homework Equations ballistic path equation? delta...
  14. G

    Projectile Motion Problem Help

    I am in an Honors Physics I class at my school and we are just starting to learn about projectile motion. I am having a bit of trouble with some homework and am in need of help. Problems: 1. I kick a rock horizontally off a ledge that is 20 m high. Once in the air, the rock is in free-fall...
  15. P

    Projectile Motion Problem (Object thrown from the top of a cliff)

    1. If an object is thrown with a horizontal velocity of 32 m/s and a vertical velocity of 24 m/s from the top of a cliff that is 230 m in height (on the moon where the acceleration is found to be 1.6 m/s^2), how long will the object be in flight? 2. Δd = v1Δt+1/2aΔt^2, Δd =...
  16. M

    Kinematic and Projectile motion equations

    Homework Statement Find the angle of the projection for which the maximum height is equal half of the range. Homework Equations Kinematic and Projectile motion equations
  17. I

    Projectile motion problem where the projectile is a rocket

    Homework Statement A rocket is launched at an angle of 53° above the horizontal with an initial speed of 75 m/s. It moves in powered flight along its initial line of motion with an acceleration of 25 m/s^2. At 30 s(seconds) from launch, its engine fails and the rocket continues to move as a...
  18. S

    Projectile Motion, finding minimum speed

    Homework Statement A gazelle leaps over a 2.1m fence. Assuming a 45° takeoff angle, what is the minimum speed?Homework Equations 1. x=v0x * t 2. y = v0y * t - 1/2gt2 3. vy = v0y - gt 4. vy2 = v0y2 - 2gΔyThe Attempt at a Solution I assumed at the top of the leap, vy=0 m/s, so I used equation 4...
  19. P

    Basketball Projectile Motion problem

    Homework Statement You throw a basketball towards a basketball hoop that is 4.92 m away from you, and 0.457 above the release point at 30 degrees above the horizontal (assume g = 10 m/s2) How fast does the ball have to leave your hand to pass through the hoop on its way down? Homework...
  20. D

    Projectile Motion: Skateboarder on a Ramp

    Homework Statement A skateboarder starts up a 1.0--high, 30 ramp at a speed of 7.9 . The skateboard wheels roll without friction. How far from the end of the ramp does the skateboarder touch down? Homework Equations x=x0+v0t+.5(a)(t2) v=v0+at The Attempt at a Solution This...
  21. M

    Beginner Projectile Motion problem

    Homework Statement Fire a cannon ball at 30 degrees above the horizontal with an initial speed of 65 m/s from the top of a building 50 m high. Find the total time the cannon ball is in the air. What's the horizontal distance from the base of the building when the ball strikes the ground...
  22. W

    Projectile Motion Quarterback Throw

    Homework Statement A quarterback claims that he can throw the football a horizontal distance of 193 m. Furthermore, he claims that he can do this by launching the ball at the relatively low angle of 32.1 ° above the horizontal. To evaluate this claim, determine the speed with which this...
  23. T

    Simple projectile motion problem

    Homework Statement In the figure, a baseball is hit at a height h = 1.20 m and then caught at the same height. It travels alongside a wall, moving up past the top of the wall 1.2 s after it is hit and then down past the top of the wall 4.1 s later, at distance D = 55 m farther along the wall...
  24. S

    Projectile Motion- Deriving equation

    Homework Statement Part 1- Derive an algebraic expression for the time-of-flight of a projectile launched with initial speed v0 from a height h at an angle θ above horizontal. (Use any variable or symbol stated above along with the following as necessary: g. Do not substitute numerical...
  25. T

    Projectile Motion Questions

    1. A projectile is launched at an angle of 45.0 degrees above the horizontal and lands at the same level from which it was launched 3.69 seconds later. The magnitude of the initial velocity is _____ m/s 2. If θo is the angle of elevation above the horizontal at which a projectile is launched...
  26. P

    Projectile motion: Finding flight distance with air resistance

    Homework Statement A ball of mass 9N is shot from a slingshot at an angle of 60° from the ground. The slingshot is sitting 1m above the ground. The elasticity of the slingshot is k = 700N/m. Take gravity = 10m/s^2 Air resistance must be taken into account also. Use the formula D = (...
  27. K

    How to Calculate Projectile Motion for a Marble in a Lab Experiment

    Projectile Motion Lab! PLEASE HELP THIS IS FOR TOMORROW. I am a high school student in Grade 12. We are currently doing projectile motion. We are using a marble. The teacher said that we should neglect air resistance because it is a very heavy marble. The marble, in the projector, is...
  28. S

    Projectile Motion ~ AP Physics (A rifle is fired at an angle of )

    A rifle is fired at an angle of 25° below the horizontal with an initial velocity of 400 m/s from the top of a cliff 60.0m high. How far from the base of the cliff does the bullet land? This is what I did, but I'm not sure if its right: y-component→ v=400sin(25°) ∴v=169.05 x-component→...
  29. T

    Projectile Motion given only x and y distance

    Homework Statement The question reads: Luke Skywalker is dropping a bomb down a ventilation shaft on the Death Star. The circular shaft has a diameter of 1m. When the bomb is released, Luke's X-wing start-fighter is 200m above the shaft's opening and 500m horizontally from the front edge of...
  30. A

    Football/receiver projectile motion

    Homework Statement A football is thrown toward a receiver with an initial speed of 20.0 m/s at an angle of 30.0o above the horizontal. At that instant, the receiver is 20.0 m from the quaterback. In what direction and with what constant speed should the receiver run in order to catch the...
  31. P

    Projectile motion - velocity and distance

    Projectile motion -- velocity and distance Homework Statement A projectile is launched with an initial speed of 60 m/s at an angle of 30 degrees above the horizontal. The projectile lands on a hillside 4 seconds later. Neglect air friction. What is the projectile's velocity at the...
  32. V

    Projectile Motion Problem #2: Calculating Time Spent in Upper Half of Jump

    If a player jumps with an initial speed of Vo = 7 m/s at an angle of 35, what percent of the jump's range does the player spend in the upper half of the jump? So Vo = 7m/s that means that Voy = 7sin60 and Vox = 7cos60 right? I understand (i think) that if I can find how long it takes for the...
  33. V

    Projectile motion stone throw problem

    A stone is projected at a cliff of height h with an initial speed of 42m/s directed at angle=60 above the horizontal. The stone strikes at A, 5.5s after launching. Find A) the height h of the cliff, B) the speed of the stone just before impact at A, and C) the maximum height H reached above the...
  34. E

    Projectile motion, Cat jumping off table

    Homework Statement A cat jumps off of the table with a velocity vi at an angle θ. The table is h meters tall. How far away from the table is the cat? V(x) = ViCosθ V(y) = ViSinθ Homework Equations I first solved for time using 0 = Xi + Vit +1/2a(t^2)The Attempt at a Solution I got time as...
  35. L

    Projectile Motion: Accleration along an incline.

    Homework Statement I don't need help with a homework question so much as a clarification of a concept. I realize that in projectile motion on a horizontal plane, horizontal acceleration is 0. But if an object is launched from the top of an incline (shaped like \), there is both an acceleration...
  36. N

    Projectile Motion Problem: Finding Minimum Jumping Speed of a Salmon

    Homework Statement starting at 2.00m away from a waterfall .55m in height, at what minimum speed must a salmon jumping at an angle of 32.0° leave the water to continue upstream? Homework Equations Δx=vi(cosθ)Δt Δy=vi(sinθ)Δt-1/2g(Δt)2 The Attempt at a Solution there were some other...
  37. M

    Calculating Projectile Motion: Time to Reach 10m Below Launch Point

    A ball is tossed from an upper story window of a building. It has an initial velocity of 8.00 m/s at an angle of 20 degrees below the horizontal. How long does it take the ball to reach a point 10.0m below the level of launching. I tried using the equation yf=vi(sin(theta))-.5gt^2 Which I...
  38. K

    Very Stuck on Deriving Projectile Motion Formulas

    Very Stuck on Deriving Projectile Motion Formulas Hey, I need some help :( . I've got an exam next Thursday, and I really suck at this stuff right now. So I need to get better! We are studying kinematics (1d and 2d). In this problem I need help with, we are given the attached diagram...
  39. B

    Football Projectile Motion Homework: Solving for Angle and Formula

    Homework Statement a football is kicked at a certain angle above the horizontal. the vertical component of its initial velocity is 40 m/s and the horizontal component is 50 m/s.Homework Equations what is the angle in the problem? what kind of formula can i use?
  40. L

    Odd projectile motion question.

    Homework Statement Question: "The time of flight of the lure through the air is 3.4 seconds. (g= 9.8m/s/s) Calculate the maximum height of the lure in its projectile motion." Homework Equations Not sure if I need to use this: d = (u)(t) + (1/2)(a)(t^2) The Attempt at a Solution...
  41. M

    Projectile Motion: Calculating Range, Maximum Height, Speed & Angle

    Urgent! projectile motion Heyy every1 Q Exactly 2.7s after a projectile is fired into the air from the ground ,it is observed to have a velocity v = (8.8i+4.5 j) m/s where the x-axis is horizontal and the y-axis is positive upward . a)Determine the horizontal range of the projectile...
  42. C

    Simple Projectile Motion of a rock

    Homework Statement A rock dropped from a cliff covers one-third of its total distance to the ground in the last second of its fall. Air resistance is negligible. How high is the cliff? Homework Equations v = v0 + at2 h = v0t + 0.5at2 v2 = v02 + 2ahh = distance in this case The Attempt at a...
  43. D

    Why Do Horizontally Fired and Vertically Dropped Bullets Land Simultaneously?

    Why does a bullet fired horizontal and bullet dropped vertically downward, land at the same time? Shouldn't the object thrown downward fall sooner as it has a shorter distance to cover even though gravity pulls both of the down at the same rate? Does it have to do anything with the fact that...
  44. J

    Projectile Motion - Acceleration and Angles

    Finding the total distance a jaguar has jumped from a 30° angle at 3.33m/s. I've split the jump into horiz./vert. components: Vertical: v sin(θ) = 3.33sin(30) = 1.67 ms-1 Horizontal: v cos(θ) = 3.33cos(30) = 2.88 ms-1 I am just unsure as to how to find the time taken to reach maximum height...
  45. sankalpmittal

    Objective questions regarding projectile motion - 2 dimension .

    Objective questions regarding "projectile motion - 2 dimension". Homework Statement There are 2 mini problems : 1. If t1 and t2 be the times of flight from A to B and "θ" be the angle of inclination of AB to the horizontal , then t12 + 2t1t2sinθ + t22 is (A.) independent of θ (B.)...
  46. E

    Projectile Motion problem (is my textbook wrong?)

    Homework Statement "A slingshot fires a stone horizontally from a tower 32 metres high, and it lands 135 metres from the foot of the tower. What was the speed at which it left the slingshot?" Verticle Height = 32m Horizontal Distance = 135m The Attempt at a Solution I first calculated...
  47. B

    Projectile Motion Problems: Solving for Magnitude and Direction | Homework Help

    Homework Statement Problem Number 1: a ball thrown into the air from the ground reaches a maximum height of 50meters and 200meters horizontally. Find the magnitude and direction. Problem Number 2: a movie stunt drive on a motorcycle speeds horizontally of a 50meter high cliff. How fast must...
  48. D

    Projectile Motion, Find initial velocity knowing x & y dist and time.

    Homework Statement A football player punts the football so that it will have a time of flight = 4.5s and land 45.7m away. The ball leaves the player's foot 1.52 m above ground. What is initial velocity? (Magnitude and direction) Homework Equations x-x_0 = v_0 * cosθ * t y-y_0 =...
  49. C

    Problem with finding time from projectile motion problem

    Homework Statement A projectile is fired from a cliff 125m off the ground at 37° from the horizontal at 65 m/s. How long will it take to hit the ground? Homework Equations y= yo+(Vyo)(t) - 1/2(g)(t^2) quadratic formula The Attempt at a Solution substituting in equation...
  50. J

    Projectile Motion: Initial Speed and Maximum Height Calculations

    A vertically moving object projectile reaches a maximum height of 50 meters above its starting position What is the projectiles initial speed? What is the height above the starting point at 3.3 seconds?
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