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. M

    Horizontal velocity for projectile motion

    Homework Statement There was a plane with the height of 1 km above the ground. The plane is moving horizontally 200 m/s and can fire a bullet with the velocity of 400 m/s. At one time, the the gun form an angle of 37(degree) and fired the bullet. I was confused with the horizontal (x-axis)...
  2. P

    Solving Shell Motion with Initial Velocity of 60 m/s

    I've put the problem statement below and worked it out. I typically don't post questions like this as they're a lot to go through, but I am wondering if I have worked the problem correctly as my book does not have the solution and I feel like I am not understand the material correctly. 1...
  3. B

    Projectile Motion spring launch

    Homework Statement I am trying to find the force needed from a spring to launch a mass of 800g to a length of 0.875m. This launch would be at the optimum angle of 45º. I am aware of all projectile motion equations but am having difficulty linking them to force and thus solving the problem...
  4. R

    Find height, range and time of flight for projectile motion

    Homework Statement Homework Equations kinematics. a=F/m The Attempt at a Solution 100cos(70)=342 100sin(70)=393.7 X=1/2(-9.8)t^2+100t; t=0. t=20.4
  5. F

    Finding launch angle and velocity

    Homework Statement You are an invading army who wants to launch a rock over the enemy castle’s wall. The wall is 12 meters high and there is a moat surrounding the wall which forces you to launch from a distance of 17 meters away. What angle and velocity should you shoot at in order to just...
  6. M

    Positions Versus time on an incline

    The initial position of the block is the origin; i.e., x = 0 at t = 0 . Consider down the track to be the positive x-direction. A block with an initial velocity v0 slides up and back down a frictionless incline. Which graph best represents a description the position of the block versus time...
  7. GZM

    Question for projectile motion

    Homework Statement The question states : Romeo tosses a pebble at Juliet's window to wake her. Unfortunately, he throws too large a pebble too fast. Just before crashing through the glass, the pebble is moving horizontally, having traveled a horizontal distance x and a vertical distance y as a...
  8. J

    Projectile Motion Water hose Question

    Homework Statement A water hose is used to fill a large cylindrical storage tank of diameter D and height 2D . The hose shoots the water at 45 ∘ above the horizontal from the same level as the base of the tank and is a distance 6D awayHomework Equations Vx=Vt D=vit+1/2at^2 The Attempt at...
  9. Kingyou123

    Is My Calculation of 81.48 Meters in Projectile Motion Correct?

    Homework Statement Check for first upload Homework Equations I wrote them down in my attempt at a solution The Attempt at a Solution Second upload, 81.48 meters high seems really wrong to me...
  10. M

    Equations of Kinematics in 2-D/Projectile Motion

    Homework Statement A tennis ball is struck such that it leaves the racket horizontally with a speed of 28.0 m/s. The ball hits the court at a horizontal distance of 19.6 m from the racket. What is the height of the tennis ball when it leaves the racket? Homework Equations v = vo + at x =...
  11. M

    Projectile Motion: An Arrow Shot & Landed at Different Points

    Homework Statement An Arrow is shot from an initial velocity of 45 m/s 52 degrees above the horizontal. It lands on a 5 m high roof of a house. The arrow is shot from a height of 1.5 m. (v) Would it be able to pass over a 50 m high tree located 75 m away? (vi) What is its' total time of...
  12. M

    Building an air cannon that shoots a wad of paper

    We are building an air cannon that shoots a wad of paper. I know the volume of the tank, the pressure of the tank, the size of the barrel, and the weight of the object. I need to know how to solve for initial velocity given this information. I will use the Vi to find the estimated distance...
  13. Kingyou123

    Projectile Motion range equation

    Homework Statement Uploaded Homework Equations x(t)=xo+v0xT+1/2axt^2 The Attempt at a Solution (2Vo)costheta(t)=R, How would I get rid of T?
  14. Sujith Sizon

    Oblique collision of two bodies undergoing projectile motion

    Q) two identical smooth balls are projected from points O and A on the horizontal ground with the same speed of projection the angle of projection in each case is 30 The distance between O and A is 100m . The balls collide in mid air And return to their respective points of projection if...
  15. C

    Find Initial Velocity - Projectile Motion

    I've been trying to come up with the answer but it hasn't gotten me anywhere. I know that I need to find the angle to get the velocity. Q: A rock is projected from the edge of a 30.48 m tall building at some unknown angle above the horizontal. 5 seconds after, the rock strikes the ground at a...
  16. M

    Finding two variables in projectile motion

    Homework Statement You are the chief of the Angry Birds (Google it, if you don’t know the reference...it’s not important). You can shoot red birds from a catapult, and they will fly as projectiles under the effect of gravity. Gravity points downwards and has magnitude g = 9.80 m/s2 . Your goal...
  17. MARK 42

    Kinematics -- Projectile motion problem

    One bullet was fired from Gun A and Gun B each at varying time interval. Both the guns are 10 meters above the ground. Calculate: a) Which gun was fired first. b) Displacement and time at which the two bullets will collide.
  18. Anama Skout

    Modeling projectile motion as subject to a constant accelera

    Consider the following diagram of a projectile motion (##\hat{\bf i}## and ##\hat{\bf j}## are the unit vectors of the ##x## and ##y##-axis respectively) We know that $$F=ma.\tag1$$ This can be rearranged to $$a=\frac Fm.\tag2$$ So there are actually two accelerations, one with magnitude...
  19. Scorry

    Projectile Motion: Firing range

    1. Homework Statement The problem and all known information is attached. Homework Equations The kinematic equations are attached. The Attempt at a Solution My attempt is attached. I did part (a), (b), and (c), right. How do I do part (d)? I tried distance/ time .
  20. F

    Projectile Motion, Find Gravity

    Homework Statement You kick a ball with a speed of 2 m/s, at a 45 degree inclination to the horizontal. You measure h to be 4⁄15 m. What planet are you on? Homework EquationsThe Attempt at a Solution Upon first glance, I thought that this problem did not provide enough information...
  21. Scorry

    Projectile motion from the ground

    Homework Statement The problem (5.9) and given data is attached. Homework Equations All relevant equations are given (5.9). On (5.9) What does the s subscript y represent? And why does gravity equal -32? The Attempt at a Solution The solution is given. This is a scan problem.
  22. Scorry

    Projectile Motion -- mountain jumper

    1. Homework Statement A jumper runs horizontally off a 910 meter mountain with speed 4.0 m/s and enjoys a free fall until she is 150 meters above the valley floor, at which time she opens her parachute. Ignore air resistance Homework Equations A) how long is the jumper in free fall. B) how...
  23. B

    Projectile Motion: Calculating Speed of Ball Thrown from Third Floor Window

    << Thread moved to the HH forums from the technical physics forums, so no HH Templatge is shown >> So I have this question that says, "Someone at a third floor window (12 m above ground) hurls a ball downward at 45 degrees at a speed of 25.0 m/s. How fast will it be traveling when it strikes...
  24. C

    Determining the height of an angled projectile after 10m

    Homework Statement Jason is practicing his tennis stroke by hitting balls against a wall. The ball leaves his racquet at a height of 43 cm above the ground at an angle of 80° with respect to the vertical. The speed of the ball as it leaves the racquet is 25 m/s and it must travel a distance of...
  25. P

    What direction would you take answering this question?

    Homework Statement Planning a new stunt where he will be shout out of a cannon into the back of a speeding utility vehicle the sit slopes downhill at 10 degrees and the cannon will launch him at 35Km/Hr at and angle of 30 degrees as shown in the attached picture Homework Equations I cannot...
  26. ltkach2015

    Projectile Motion on Inclined Surface Question

    Homework Statement Water is sprayed at an angle of 90° from the slope at 20m/s. Determine the range R. PLEASE SEE ATTACHMENTHomework Equations [/B] Kinematic Equations: acceleration: A = 0i +g(-j) + 0k; velocity: dV/dt = A; position: dR/dt = V; Origin set at the point spout...
  27. J

    Angle below horizontal projectile question

    Homework Statement a ball rolls off an incline on top of a 9.0m building at a velocity of 22m/s 32° below the horizontal how far from the base of the building will the ball hit the ground? [ANS = 11m) Homework Equations vf^2 = vi^2 + 2ad d = ((vf+vi)/2)t d = vt The Attempt at a Solution x...
  28. Sarah00

    Projectile Motion & Vectors: Acceleration and Axis Conventions Explained

    Homework Statement Homework Equations - The Attempt at a Solution I know that the acceleration is downward always with value of 10m/s2 The answer is D? because j denote vertical axis and negative sign means downward? [/B]
  29. J-dizzal

    Projectile Motion baseball Problem

    Homework Statement In the figure, a baseball is hit at a height h = 1.30 m and then caught at the same height. It travels alongside a wall, moving up past the top of the wall 1.1 s after it is hit and then down past the top of the wall 3.9 s later, at distance D = 42 m farther along the wall...
  30. G

    Time of flight of projectile motion

    Homework Statement Why the time of vertical motion and horizontal motion of the projectile are the same ? I couldn't understand it. Could someone explain it ? Homework EquationsThe Attempt at a Solution
  31. J-dizzal

    Projectile motion (ground to ground)

    Homework Statement In the figure, a baseball is hit at a height h = 1.30 m and then caught at the same height. It travels alongside a wall, moving up past the top of the wall 1.1 s after it is hit and then down past the top of the wall 3.9 s later, at distance D = 42 m farther along the wall...
  32. J-dizzal

    Projectile motion velocity question

    Is the x component of the initial velocity equal to the velocity of the projectile at max height? v0cosθ0i = vmax heighti
  33. D

    Projectile Motion - Skier & Ramp

    Homework Statement A ski jumper acquires a speed of 119.0 km/hr by racing down a steep hill. He then lifts off into the air from a horizontal ramp. Beyond this ramp, the ground slopes downward at an angle of θ = 45 degrees. Homework Equations Assuming the skier is in free-fall motion after he...
  34. K

    Projectile motion of a fired cannon ball

    1. A cannonball is fired toward a vertical building 400 m away with an initial velocity of at 36.9° above the horizontal. The ball will hit the building in A. 4.0 s. B. 5.0 s. C. less than 4.0 s. D. more than 5.0 s. 2. If the cannonball in the previous question is fired horizontally from a...
  35. Mayzu

    What have I done wrong? (projectile motion)

    Homework Statement A cricketer fields the ball in the outfield, some 80 meters from the wicket keeper. The fielder needs to return the ball to the wicket keeper as quickly as possible. He can throw the ball with a speed of 140 km/hr. The cricket ball has a mass of 0.0168kg (e) The fielder...
  36. M

    Projectile motion with air resistance

    Homework Statement This is a standard projectile motion problem, the mass is m, the drag is F_r = - alpha *v, where alpha is a positive retarding coefficient. The origin is the ground and at time t = 0 the horizontal and vertical velocities are positive a) Write down Newton's second law for...
  37. V

    Projectile Motion/ Air Resistance Question

    I actually have 2 questions that I am getting stuck on around the same point.. Question 1) An arrow with a mass of 80g is fired at an angle of 30 degrees to the horizontal. It strikes a target located 5 m above the firing point and impacts the target traveling at a speed of 20 meters/sec. If...
  38. nusaiba mustafa

    Projectile motion sample problems

    Can i get a link or numerical problems on projectile motion Actually its so confusing
  39. P

    Projectile Motion- Incline vs. Horizontal Surface

    Homework Statement Two identical metal blocks, H and A, are placed at equal heights on frictionless ramps as shown above. The blocks are released at the same time, travel down the ramp, and then slide off their respective ends of the table. Block H leaves the table from a horizontal surface...
  40. Glenboro

    Projectile Motion of a Cannonball: Calculating Velocity, Height, Time, and Range

    Homework Statement A cannonball is fired with a velocity of 125 m/s at 25.0° above the horizontal a) Determine the horizontal and vertical components of the initial velocity. b) Determine the maximum height the cannonball reaches in its path c) Determine the time it takes to reach maximum...
  41. M

    Projectile motion and SUVAT equations

    Attempting a projectile motion question where initial and final speed is given but angle of elevation isn't. Need to find an equation for the vertical distance H travelled. I got the right answer using v^2 = u^2 + 2as substituting s=H and a=-9.8. However the mark scheme states that this...
  42. Hesham Zwayyed

    Using accelorometer and gyroscope in projectile motion

    I'm working on a project to make a SmartBall that can detect the velocity(km/h) , spin(degrees per second) and flightpath(trajectory) of the ball using Intel Edison with the 9DOF block (LSM9DS0 : 3-axis accelerometer, 3-axis gyroscope, and 3-axis magnetometer) & the battery block, I'm reading...
  43. anandzoom

    Projectile motion sand bag drop

    sand bag is dropped...i can understand that vertical acceleration is 9.8m/s^2...so vertical velocity increases in a.p (9.8, 19.6... m/s)...but this book says horizontal velocity of sandbag is constant and same as that of hot-air balloon (i.e., 12m/s)...I think the horizontal velocity should...
  44. J

    Projectile Motion: Minimum Velocity for Overcoming an Obstacle

    Homework Statement A projectile needs to be launched over a fence of width d, and height y. Find the minimum velocity needed. Homework Equations Projectile Motion etc.. The Attempt at a Solution [/B] x(t) = v0xt y(t) = -½gt2+voyt Setting: x(T) = L y(T) = h
  45. bongobl

    Projectile motion trajectories differing from 45 degrees

    Hi guys, I am stuck with a problem here. First, It is given that for 2-dimensional projectile motion, a trajectory of 45 degrees will yield the greatest range. However, how do I show that angles that differ from 45 degrees by the same amount will yield the same range? For example, the range of...
  46. G

    Differential equations: applying force to projectile

    Homework Statement The following series of differential equations represents a projectile's path when solved (g=9.81): Modify this series of differential equations to account for an additional force F with vector components a and b acting on the projectile. Here is a sample plot of this...
  47. T

    Projectile Motion here then simulated in a different gravity

    So I'm working on an experiment where I do a projectile motion simulation here on Earth and want to know how it will fair in a low gravity environment such as in the moon with one common parameter in between, Force. Imagine, here on earth, I have a mass that I push up with a force(F) for it to...
  48. N

    Projectile Motion- magnitude of final velocity

    Homework Statement Consider a cannon on a 50m high cliff. The cannon shoots a cannonball with an initial speed of 200m/s at an angle of 30°, causing the cannonball to land 41m away from the cannon. What is the magnitude of the velocity of the cannonball the instance just before it hits the...
  49. HueHue

    How Do You Calculate Time of Flight and Range for a Rocket Launched at an Angle?

    Homework Statement A rocket is launched at an angle of 36.87º (sin=0.6 cos=0.8) with an acceleration of 30m/s² for 20s (fuel runs out). Find a) total time of flight b) horizontal range. Homework EquationsThe Attempt at a Solution for the first 20 seconds: v= 30 * 20 = 600m/s d=30 *...
  50. V

    Projectile motion, finding initial speed

    An object fired at an angle of 30° above the horizontal takes 2.5 s to travel the last 12 m of its vertical distance and the last 10 m of its horizontal distance. With what speed was the object launched? (Note: This problem does not stipulate that the initial and final elevation of the object...
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