Projectile motion Definition and 1000 Threads

Homework Statement A projectile is fired horizontally from a gun that is 45.0m above flat ground, emerging from the gun with a speed of 250m/s. How long does the projectile remain in the air? Homework Equations unsure of what equation to use. The Attempt at a Solution I tried to...

Homework Statement At t = 0, a projectile is located at the origin and has a velocity of 20 m/s at 40° above the horizontal. The profile of the ground surface it strikes can be approximated by the equation y = 0.4x – 0.006x2, where x and y are in meters. Determine (a) the approximate...

Homework Statement A baseball is bunted down the third base line leaving the bat from a height of .900m with initial v = 3.00 m/s at angle 20° above the horizontal. I calculated that x(range)= 1.72m t(total)=.61s vx=2.82 m/s vy=1.03 m/s -What is the speed of the ball before it hits the...

The problem is from the MIT Open CourseWare Calculus eBook by Strang. Chapter 12.2, #3: A ball is thrown at 60 degrees with initial velocity of 20m/sec to clear a wall 2m high. How far away is the wall? Finding flight time T, range R, and max height Y(max) is the easy part. How do I find...

Homework Statement A projectile is fired horizontally from a gun that is 55.0 m above flat ground, emerging from the gun with a speed of 350 m/s. a) How long does the projectile remain in the air? b) At what horizontal distance from the firing point does it strike the ground? c) What is...

Homework Statement A jaguar(A) leaps from the origin at a speed of v0 = 6 m/s and an angle β = 35° relative to the incline to try and intercept the panther(B) at point C. Determine the distance R that the jaguar jumps from the origin to point C. given the the angle of the incline is θ = 25°...

Homework Statement A projectile is shot from the edge of a cliff (h=265m) above ground level with an initail speed of Vi= 115m/s at an angle of 37.0 degrees with the horizontal. a. Determine the time taken by the projectile to hit point P at ground level? b. Determine the Range of the...

1. Homework Statement During a tennis match, a player serves the ball at a speed s, with the center of the ball leaving the racquet at angle θ below the horizontal at a height y0. The net is a distance d away and has a height h. When the ball is directly over the net, what is the distance...

A quarterback wants to throw a football at 22.0 m/s to a receiver 31.0 m away. At what angle above the horizontal should he throw it? Assume that the receiver catches the ball at the same height that the quarterback releases it. The answer should be 19.4° but for some reason I just cannot get...

Homework Statement At a time t, a projectile is measured to have a height Y = 12 m above the ground and a velocity v = 4 m/s at an angle (theta) = 42 with respect to to the horizontal. At what horizontal positions is the particle at a height 3/4 Y ? Height= 12 m Velocity= 4 m/s Angle= 42...

Homework Statement Please check my work A model rocket is launched vertically upwards with an initial speed of 50m/s. It accelerates with a constant upward acceleartion of 2m/s until its engine stop at an altitude of 150m. 2.4.1) What is the maximum height reached by the rocket...

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: How long was the bullet in the air? How far from the base of the parking garage did the bullet land? At what...

Homework Statement Please check my work. Two students are on a balcony 19.6m above the ground. One guy throws a ball vertically downwards at 14.7m/s; at the same time the other guy throws a second ball vertically upwards at the same speed. The second ball just misses the balcony on the way...

Homework Statement The motorcyclist attempts to jump over a series of cars and trucks and lands smoothly on the other ramp, i.e., such that his velocity is tangent to the ramp at B. Determine the launch speed vA necessary to make the jump. Image attached. Homework Equations a =...

1. Homework Statement When baseball outfielders throw the ball, they usually allow it to take one bounce, on the theory that the ball arrives at its target sooner that way. Suppose that, after the bounce, the ball rebounds at the same angle θ that it had when it was released (as in the figure...

This is the problem word for word: A student throws a baseball at a large gong 48 m away and hears the sound of the gong 1.18893 s later. The speed of sound in air is 330 m/s. What was the average speed of the baseball on its way to the gong? (For simplicity, assume its trajectory to be a...

Help with projectile motion :( 1. Homework Statement A soccer ball is kicked from the roof of a 260m building. The ball is given an initial speed of 22m/s. It is airborne for a period of 8.3s and travels horizontally for 165.5m before hitting the ground. What is the angle ( in degrees) at...

Homework Statement The Attempt at a Solution I've solved part (a) by solving the differential equations in the x and y directions, but for the approximation maximum range part I'm slightly confused: 1. What does it mean by "assuming the correction with k ≠ 0 is small? I tried to...

Homework Statement A child sitting in a tree throws his apple core from where he is perched (a height of 4.0m) with a velocity of 5.0m/s [35 deg above horizontal] and it hits the ground right next to his friend. a)how long is it before the apple core hits the ground? b)how far from the...

deriving equation for minimum height in projectile motion with two give me's :) Homework Statement A ball is launched at a 45 degree angle and lands 152.4 m away. What is the maximum height the ball will reach during its flight. I Know the answer, what I need is to find a way to derive an...

Can anyone explain to me why (when air resistance is ignored), that 45° angle is the ideal angle for the longest range? Is it because if it is over 45° then gravity will be acting on it longer therefore will be dragged down sooner? Also as "u cos >45" produces a lower exit...

Homework Statement So I have a ball rolling down a ramp structure from rest and up a curve,to launch out at 15 degrees. The ball lands 100cm away in a hole 0.05cm deep. The height in which it comes out of the ramp is 0.05cm high angle at which ball launches out = 15 degrees above horiontal...

Projectile Motion - motion on a horizontal surface please help! Homework Statement Isaac Newton shot a dirty snowball 76m across a horizontal field. It passed directly over Edmund Haley's head, and was in the air for 7.6s. How high did it get above the field? Answer in m. Homework...

Alright, so, I am writing an aimbot for a popular game, and I need a bit of help with calculating the correct pitch angle for the player. The weapon is a bow, so the arrows are affected by gravity. I am trying to find the pitch angle that accounts for gravity and distance from the Entity you are...

So I got the correct answers for this question but I don't understand how. I don't understand the breakdown of the components. I don't understand where what variables should be. Homework Statement A rock is projected at a cliff with initial speed of 42m/s, at 60deg above the horizontal...

Homework Statement A projectile is thrown from a point P at an angle θ above the horizontal . It moves in such a way that its distance from P is always increasing from its launch until its fall back to the ground. Find all the possible values of θ with which the projectile could have been...

Homework Statement Terminal speed = 43 m s-1Homework Equations Acceleration in y direction when ball falling down: ay = - g + \alphavvy where \alpha = K/m and v = (vx2 + vy2)^0.5The Attempt at a Solution Putting ay = 0 as there is no acceleration when terminal speed occurs. However, is vvy...

I've been studying this rather interesting article about projectile motion in special relativity. The thing is, I can't understand how the author found the trajectory function. He says that he did it by solving the following parametric equation: x(t)=\frac{cp_0cos\theta}{F}ln\left \{...

The question is in the attachment. a) for the height i got 1.25m which you get by using displacement and acceleration. (t=20/40=0.5sec) b) a=v/t, 10*0.5=5m/s c) At initial point: mgh= 0.040*10*1.25=0.5J 1/2mv^2=1/2*0.040*40^2=32J Hits Ground: mgh=0.040*10*0=0J 1/2mv^2=1/2*0.040*(20 or 40)^2...

Homework Statement When a ball was thrown and caught at the same height from which it was thrown, it was measured to have traveled 12 meters in 1.3 seconds. What was the launch velocity? The answer on the key says 11.2 meters per second. Homework Equations Yfinal = Yinit + Vt + 1/2...

Hi, I need someone to check if I did this right. As I got the q's off a PDF with no answers. Homework Statement A projectile is shot from the edge of a cliff 125 m above the ground. It has an initial velocity 50.0 m/s 37.0° above the horizontal at the launch point. a) Determine the time taken...

I'm new here, and I don't know how to do these homework problems. 1. Katie Bell of the Gryffindor Quidditch team is flying level with the Slytherin goal posts at 25 m/s at the same height as the middle hoop. She throws the ball toward the goal with and additional 15 m/s velocity at an angle...

Homework Statement A student threw a ball horizontally out a window 8.0m above the ground. It was caught by another student 10.0m away. What was the initial velocity of the ball? ANSWER PROVIDED: 7.16m/s Homework Equations dv=1/2at^2 t=vv/a dh=vht The Attempt at a Solution...

Homework Statement A broad jumper begins his jump at an angle of 22 degrees from the horizontal. At the middle of the jump he reaches a height of 70.0cm a. What is his horizontal velocity b. What is his horizontal displacement ANSWER: 9.16m/sHomework Equations dh=vht dv=1/2at^2 t=vv/a The...

Homework Statement Use 4 decimal places at each step to ensure accuracy. a) A rocket is launched vertically and remains in the air for 5.10 seconds until it hits the ground. Calculate the initial velocity of the rocket. Calculate the maximum height of the rocket (positive). vo = 24.99...

Homework Statement For a given velocity of projection in a projectile motion, the maximum horizontal distance is possible only at ө = 45°. Substantiate your answer with mathematical support. Homework Equations My teacher gave us the information that u=10 m/sec, however I don't see...

Homework Statement A grasshopper jumps 1.00 meters from rest, with an initial velocity at a 45.0° angle with respect to the horizontal. Find (a) the initial speed of the grasshopper and (b) the maximum height reached.Homework Equations vx = v0xt = v0cos θ0 vy = v0 sin θ0 - gtThe Attempt at a...

What happens to range if the initial height is doubled. Say if something is shot at 2 ft and then its shot at 4 ft high, what happens to range? I know that its conservation of energy. I just have no idea how to come up with the right answer

Homework Statement A child sitting in a tree throws an apple core from where he is perched (4 m high) with a velocity of 5 m/s [35 degrees above horizontal] and it hits the ground next to his friend. How long before the core hits the ground? Homework Equations dy = vy(initial)t + 1/2at...

http://www.foothillfalcons.org/ourpages/auto/2008/10/19/62799693/Rolling%20Ball%20Lab.pdf I am doing a lab in class where we set up a ramp on a table and measured the distance the ball travels on the horizontal part of the track. We then rolled the a marble down the ramp and did trials on...

Stuck on these homework problems. 1. A ball is launched 60 degrees above the x-axis to a helicopter that is 110 feet away and 90 feet high. What is the initial velocity required to reach it? I know the equation we have to use is 90 = viT + .5aT^2 and that 90 = vi(cos60)T 2...

I am really stuck on these two homework problems. 1. Basically, there is a cannon which will launch a ball at 60 degrees respect to the x axis. There is also a helicopter 90 feet away from the cannon and 70 feet up. What intial velocity will the cannon ball need to be launched with in order...

1. I have a ball that is thrown off a 3m high cliff at 20 m/s horizontally, what is the displacement on the X axis, Vf, and tair? (assuming no air resistance) Homework Equations d=Vi*t+(1/2a*t2 The Attempt at a Solution When I tried to solve this problem I couldn't really find an...

Homework Statement These are the exact words: A player is ready to throw a ball with max. possible velocity of 15 m/s from a height of 1.5 m above the ground. He wants to hit the wall 16 m away from him at its highest point. If the ceiling height of the room is 8 m, find the angle of...

Homework Statement A ski-jumper comes off the bottom of the slope going horizontally at a speed of 20 ms. It starts off 3 m above a slope going downwards at an angle of 45 degrees. How far along the slope does it land. Homework Equations 1) y= Vsinθ - (.5)gt^2 2) x= Vcosθt 3) tanβ =...

Homework Statement Iv'e been given a graphed parabola with each x interval at 0.1000s. From this I need to find R, Tt, H, V0, a and θ. Homework Equations Tt= 2 (Vsinθ/g) R= (V2sin2θ)/g H=(Vsinθ)2)/2g The Attempt at a Solution From observing the graph I know: dx and dy at every 1/10...

A golfer drives a golf ball 310.24 m down the fairway. If the ball is launched at an angle of 24.5 o to the horizontal, what is the maximum height attained by the ball during its flight? H=1/2gt^2

Homework Statement A stunt driver wants to make his car jump over 10 cars parked side by side below a horizontal ramp. if the horizontal distance is 80 ft and vertical distance is 6 ft., what is the minimum speed must the driver drive off the ramp? Homework Equations vx=v°*cos(θ)...

#1: Homework Statement A projectile is launched at an angle of 64.9 degrees with the horizontal (x axis) at some unknown velocity. After 4.6 seconds, the object's angle of trajectory is 40.3 degrees above the horizontal. What is the object's vertical displacement at this time in meters...

Homework Statement A cannon shot a ball at 90° and reached 2.19m high. From this I need to find Vi of that and find time, Vx, Vy, Dx, and Dy of a projectile being shot from this cannon at 35.00°. I would just like to confirm I have done this correctly. Dy=2.19m θ=90.00° Homework Equations...