What is Projectile: Definition and 1000 Discussions

A projectile is any object thrown by the exertion of a force. It can also be defined as an object launched into the space and allowed to move free under the influence of gravity and air resistance. Although any object in motion through space (for example a thrown baseball, kicked football, fired bullet, thrown arrow, stone released from catapult) may be called projectiles, they are commonly found in warfare and sports. Mathematical equations of motion are used to analyze projectile trajectories.

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  1. N

    Launching a projectile from a spinning wheel

    Homework Statement Two engineers are working together in a competition to launch a pumpkin as high as possible using a launching device that must be kept within a certain height. Since the engineers have a height restriction, they want to accelerate the pumpkin to a large speed before...
  2. J

    What Are the Speeds of the Fragments from a Space Rocket Explosion?

    Homework Statement A rocket ship parked at rest in space suddenly explodes into 3 pieces of equal mass traveling in the directions shown. If the piece traveling upward has a speed of 150 m/s, what are the speeds of the other two pieces?Homework Equations The Attempt at a Solution How do I...
  3. J

    Finding the Distance for a Projectile to Land on a Moving Cart

    Homework Statement A ball is kicked horizontally with speed v1 from the top of a building of height h. A small cart is moving towards the building with a constant speed v2. Right at the instant when the ball is kicked, the cart is at a distance d from the building. What is the distance d so...
  4. J

    DISTANCE travelled by the projectile

    Homework Statement What is the DISTANCE traveled by the projectile? I know how to calculate the displacement, but this includes both x and y components, so how do I calculate the distance? I'm sure it must include both height and vertical displacement components Homework Equations...
  5. M

    Resultant Velocity of a Projectile

    Homework Statement An archer stationed at the edge of a cliff shoots an arrow horizontally at 90ms^-1. The arrow falls down and hits a target. Assuming that the arrow is shot from a height of 20m, calculate: i. How long it takes the arrow to reach the target. (done) ii. How far...
  6. J

    Initial vs final for a projectile

    Homework Statement A projectile is fired through the air. It is launched from the ground, and travels without interference from wind or air resistance, landing on a raised platform above the field. Initial speed vs. final speed: Initial vertical velocity vs. final vertical velocity...
  7. B

    Help with projectile motion problem

    I'm having some difficulty with a problem about projectile motion. Just some background about me: I'm just beginning an intro to physics course and I don't have much of a math/science background, so I apologize if I make any errors regarding equations and such. The problem: A boy kicks a...
  8. AakashPandita

    Projectile Problem: Solving for θ=60° | Sinθ = ±√3 Solution

    See the attachment. The right answer is θ=60 degrees but i am getting sinθ = ±√3.
  9. S

    Difficult projectile motion question

    Homework Statement A cricketer strikes the ball at a height of 1 metre. It passes over a fielder 7 metres from the ball at a height of 3 metres, and hits the ground 60 metres from the bat. How fast was the ball hit? The issue I have here is that after forming a quadratic in terms of tanα...
  10. B

    Projectile Motion: Solving for Optimal Cannon Angle in Avalanche Triggering

    A cannon with a muzzle speed of 1000 m/s is used to start an avalanche on a mountain slope. The target is 2000 m from the cannon horizontally and 800 m above the cannon. At what angle, above the horizontal, should the cannon be fired?
  11. H

    Kinematics motion, projectile. This was an mcat problem. Thanks

    A firecracker with mass 100g is propelled vertically with a launch force of 1.2N applied over 5s, after which it explodes into two 50g fragments. One fragment goes horizontally at 15m/s and the other goes to the right at angle 53 degrees with the horizontal at speed 25 m/s. find the distance...
  12. S

    Projectile motion with mass height and range

    Hello all I have a question I was hoping someone could answer for my homework. A 78.0-kg boulder is rolling horizontally at the top of a vertical cliff that is h1 = 16 m above the surface of a lake, as shown in the figure below. The top of the vertical face of a dam is located d = 110 m from...
  13. H

    Calculating Projectile Height: 30 Degrees vs. 60 Degrees

    Hi, How does one prove that a projectile will shoot 3x higher at 60 degrees that at 30 degrees? And there is no more info available. Here is what i attempted: I gave it 500m/s, 1a.) The formula for maximum time @ 60 degrees: th = (u)(Sin60)/9.8...
  14. I

    Kinematics Min/Max angles of a projectile

    Homework Statement A football player attempts a 30m field goal. If he is able to impart a velocity u of 30 m/s to the ball,compute the minimum angle θ for which the ball will clear the crossbar of the goal. (Hint: Let m = tanθ .) Homework Equations V0x = V cosθ V0y = V sinθ We get t...
  15. C

    Angle when a projectile is launched at a height from the ground

    This a question from projectile motion. This is NOT "homework"; it's a concept that got me thinking. When a projectile is launched from the ground level and it falls back on the same (ground) level, the horizontal displacement is maximised if the angle of projection (with respect to the...
  16. B

    What are the equations for projectile motion on an inclined plane?

    Homework Statement A particle of mass m is projected with velocity of magnitude u at an angle of θ, measured anticlockwise from the line parallel to the plane, from a point (sx,0,sy,0) on a plane inclined at an angle of α measured anticlockwise from the line parallel to the ground. The...
  17. J

    Projectile explosion velocity and direction of fragments

    Homework Statement A gun fires a shell with the horizontal component of its velocity equal to 200m/s. At the highest point in its flight, the shell explodes into three fragments. Two of these fragments, which have equal mass, fly off with speeds of 300m/s relative to the ground, one along the...
  18. S

    Deceleration of a projectile (With air resistance)

    Hi there, sorry for asking a question as my first post instead of contributing to the community however I have a problem which I just cannot seem to find an answer to. I am trying to model the flight of a bullet when taking into account air resistance and I am using this equation to get the...
  19. P

    Projectile Motion in the movie Matrix?

    I need to prove that the scene where Neo jumps off the cliff in the Matrix is wrong. Obviously he can do that because he is not in this world. But using projectile motion, how would I prove that its wrong? Which equations do i need to use?
  20. A

    Physics Help- Projectile Motion?

    A baseball leaves the bat at a height of 1.23 m above the ground, traveling at an angle of 45.0 degrees with respect to the horizontal. The initial velocity of the ball is such that, for an unobstructed trajectory, it would land 120 m from the home plate. The ballpark fence is at a distance of...
  21. rakeru

    Deriving Projectile Motion Equations

    Homework Statement A projectile is fired from ground level at time t=0, at an angle of θ with respect to the horizontal. It has initial speed V0. Part A Find the time it takes the projectile to reach its maximum height. Express in terms of V0, θ, and g. Part B Find the time at...
  22. R

    Max Angle of Projectile for Increasing Position Vector

    Homework Statement 1. Find the maximum angle of projection of a projectile such that its position vector from the origin to the subsequent position of the projectile is always increasing.Homework Equations The Attempt at a Solution x(t)=v*cos(A)t, y(t)=v*sin(A)t-(1/2)gt^2. v is the initial...
  23. N

    Projectile Motion in 2d with Drag

    Homework Statement So, I'm building a "Monkey Gun" and I want to be able to find the instantaneous velocity of my dart at a certain time. I shoot the gun at some angle, θ. The problem is, if I divide the velocity into x and y components, each depends on and impacts the other (the force from...
  24. E

    Why angle of projectile has 2 solutions?

    I have the final answer of: sin2(theta) = 0.871 why does (theta) = 30.3 deg OR (theta) = 59.7 deg I get why this could be physically, but I'm not sure why mathematically?
  25. rakeru

    Finding Angles in Projectile Motion

    Homework Statement A fire hose held near the ground shoots water at a speed of 6.8 m/s. At what angle(s) should the nozzle point in order that the water land 2.0 m away? Why are there two different angles? ax=0 xo=0 x=2.0 m ay= 9.80 m/s/s y0=0 y= I'm guessing 0, because it lands on...
  26. powerof

    Projectile motion problem (find the angle) other ways?

    Homework Statement A soccer player is taking a penalty kick from a distance of 11 meters from a goal which is 2.44 m high (forgive the possible incorrect use of English, since I'm not a native speaker). Given an initial speed of the ball of 90 km/h (which is 25 m/s2) calculate the initial...
  27. G

    How can I accurately simulate projectile motion with variable factors?

    I have been looking into projectile motion equations and am struggling to find suitable ones that cover a projectile being launched at height. I know this sounds like homework, but it isn't. I am after trying to understand a 6 degree of freedom style taking into account terminal velocity...
  28. I

    Could projectile motion be used for mass transport?

    Discussion
  29. T

    Vertical Projectile Motion Problem

    Homework Statement A ball is projected vertically upward with a velocity of 30m/s. It strikes the ground after 8's. 1.1) Determine the height of the building 1.2) Find the height of the ball relative to the ground as well as its velocity at t=3 and t=5 1.3) At what time will its...
  30. T

    Is Momentum Conserved in Both Axes During a Projectile Explosion?

    Homework Statement Is momentum conserved in a projectile? I was a bit confused with this. Would it be conserved only horizontally? What if it explodes at its max height? Homework Equationsmv=mv2 The Attempt at a Solution
  31. D

    How Do You Calculate Angular Velocity at Maximum Height in Projectile Motion?

    Homework Statement We need to find angular velocity of a particle from point of launch at its maximum height. Particle is launched at θ angle wrt horizontal. Initial velocity is u. Only acceleration is gravity. Homework Equations All projectile equations i suppose ( h(max)=u2sin2/2g ...
  32. M

    Grade 11 Physics Projectile Motion Question

    Homework Statement A cannonball is launched at 90.0m/s at an angle of 60.0° above the horizontal from the top of a tower that is 38.0m high. How far away from the tower does it land if the ground is level?Homework Equations Vix=90.0m/s X Cos60 Viy=90.0m/x X Sin60The Attempt at a Solution I used...
  33. G

    Find the angles for the basketball throw, projectile problem

    1. A basketball will be launched of height h and will hit the hoop that has a height of H. The horizontal distance between the ball and the hoop is d. Given an initial velocity Vo write both possible launch angles in function of h, H, Vo and d 2. theta=tg^-1(Vy/Vx) (1)...
  34. R

    Kinetic energy of a projectile

    Homework Statement A 1kg mass is projected from the edge of a 20m tall building with a velocity of 20 m/s at some unknown angle above the horizontal. What is the kinetic energy (in J) of the mass just before it strikes the floor? Homework Equations K= 1/2 m v^{2} The Attempt at a...
  35. K

    Projectile motion sniper bullet question

    A sniper fires a bullet at 120 m/s at 30° above the horizontal from the roof top of a 35 m high parking garage. If the bullet strikes the level ground beside the parking garage: a.)How long was the bullet in the air? b.)How far from the base of the parking garage did the bullet land? c.)At...
  36. C

    A projectile is shot straight up from the Earth's surface

    Homework Statement A projectile is shot straight up from the Earth's surface at a speed of 1.10×10^4 km/hr Homework Equations mgh=.5mv^2 The Attempt at a Solution I converted the speed to m/s and 3055.5556 m/s masses cancel out so i get 9.8h=.5v^2 I plugged in v and solved for...
  37. MarkFL

    MHB Lucky12213's question at Yahoo Answers regarding projectile motion

    Here is the question: Here is a link to the question: I need help with Trig/Physics? - Yahoo! Answers I have posted a link there to this topic so the OP can find my response.
  38. X

    What is the relation of sinθ and time in projectile motion with angle

    Homework Statement I am wondering what is the relation of sinθ & time of flight in projectile motion with angle. (under the case of same velocity) Is the graph of this in a parabola shape?? Homework Equations t = (2u sinθ) / g (u in constant) The Attempt at a Solution would it be...
  39. R

    Projectile Motion - Equivalent javelin throw performed on the moon

    Homework Statement Experts recommend a release angle of 35 degrees for javelin throwing, use this as the release angle. Determine what the length of the equivalent throw on the moon would be. Clearly communicate the procedure you followed, and fully justify your answer. Homework...
  40. A

    Projectile motion of car hitting the ground

    Homework Statement (Assume no friction) A car that has a mass of 3970 kg is accelerated from an initial velocity of 0 up a ramp that is 50 meters long (the hypotenuse) and has a height above the ground at the end of the ramp of 10 meters. The velocity of the car at the end of the ramp is 150...
  41. C

    What are the steps to solving a projectile motion problem?

    Homework Statement A ball is thrown at a speed of 22.2 m/s at an angle of 44.4° on to a flat level field. The ball leaves the thrower’s hand at a height of 1.88 m. (a) How long is the ball in the air, (b) how far from where the thrower stands does it hit the ground, and (c) what is the...
  42. K

    Projectile motion off a raised surface

    [b]1. Easy solution that I'm pretty sure I talked myself out of. Using a spring loaded shooter, first shoot it off a table and calculate data and then move to another table of a different height and shoot with an incline into a sandbox. Must hit within 10cm of line drawn in the sand. known...
  43. V

    Ping Pong Ball Projectile Launcher

    Allowed materials: -1 sheet of 8"x8" cardboard to be used as the base -another sheet of 8"x8" cardboard (that may be cut) -2 standard paper towel tubes -10 standard popsicle sticks -up to 10 rubber bands (maximum unstretched length is 10 cm) -5 standard paper clips (max length 5 cm each) -...
  44. R

    How Long to Reach Maximum Height in Projectile Motion?

    Homework Statement A ball is kicked with initial velocity 40 m/s at an angle of 37 degree above the horizontal. What is the time (in seconds) needed to reach the maximum height? Homework Equations Y-axis h= Voy t - 0.5 g t^2 Vy= Voy - g t Vy^2= Voy^2 - 2 g h X-axis d= Vox t Vx=...
  45. P

    2 dimensional projectile motion with rifle and bullet

    Homework Statement A rifle is aimed horizontally at a target 30m away. The bullet hits the target 1.9cm below the aiming point. what are the bullets time of flight and the initial velocity? Homework Equations ax=0 g=9.8m/s^2 x0=0m xf=30m y0=0m yf=.019m v0x=? vfx=0m/s v0y=0 vfy=0...
  46. 5

    Projectile motion problem (find angle theta)

    Homework Statement A projectile is launched from the ground with an initial velocity of 140m/s at an angle of θ above the horizontal. (assume AR is negligible and the ground is level) The time of flight is 18.7seconds and its range is 1.98*10^3 show that the launch angle θ is approximately...
  47. S

    Projectile race track physics help

    Homework Statement The Track for this racing event was designed so that riders jump off the slope at 30°, from a height of 1m. During a race it was observed that the rider shown in Fig. 2 remained in mid air for 1s. Determine, 1) the speed at which he was traveling off the slope, ( 2points)...
  48. 5

    Projectile motion problem - tennis player hits a ball

    Homework Statement A tennis player hits a ball horizontally towards a net of height 0.90 meters, at an initial speed of 25m/s. The ball is hit at a height of 2.5 meters above the ground and at a horizontal distance of 15 meters from the net. Ignore the effects of air resistance and spin (a)...
  49. T

    Projectile Fired from Point A

    Homework Statement A projectile is fired from point A at an angle above the horizontal. At its highest point, after having travled a horizontal distance D from its launch point, it suddenly explodes into 2 identical fragments that travel horizonatally with equal but opposite velocitites as...
  50. C

    Kinematics questions. (Linear & projectile)

    Pictures of the questions are attached below. For question 2, I totally cannot get any answer from the four choices after I substituted everything in the equation. For question 4, I used V^2= U^2 + 2AS, with U being zero, A being 9.8 and S being 2.0. I got C but the answer is D. Can...
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