Projectile Definition and 1000 Threads

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=...

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...

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...

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)...

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)...

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...

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...

A body is thrown horizontally from a cliff with an initial horizontal speed. It hits the ground at a distance X from its initial position. It is said that the displacement = horizontal speed * time. When the body falls, gravity acts upon it. So why don't we consider gravity ? Any proof...

So I'm writing a Scientific Lab Inquiry (college research lab write up), and my professor pointed out a major error in my assumption of air/mathematics but I can't for the life of me figure out what is wrong or how to fix it. Attached is a copy of the paper in all it's glory/infamy. There's a...

Homework Statement A kid stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of 16.6 m/s. The cliff is 48.8 m above the ocean. How long after being released does the stone strike the water? With what speed and angle of impact does it hit the water...

Homework Statement A basketball was shot in the air. Use the following data to produce a horizontal position-time graph and a vertical position-time graph 1. Determine the initial velocity of the basketball. 2.What was the maximum height of the basketball. 3. What is the velocity of the...

Homework Statement A ball is thrown vertically downward with a velocity of 30 ft from the top of a building. Find a.)What it's speed will be after falling 2 seconds b.)How far it will fall in 2 seconds c.)What will be its velocity after 30 ft d.)If the ball was released at 120 ft...

Homework Statement A Projectile is launched from the top of a 100m tower and falls 20m below the bottom of the tower and 90m away in the x direction. Time of flight is 6 seconds. 1. Find the x component of the velocity of the object when it strikes the ground. 2. Find the y-component of...

Homework Statement "A marble rolls off a table with a horizontal velocity of 1.93m/s and onto the floor. The table is 76.5cm above the ground. Air resistance is negligible. Find the horizontal distance, the air time and the final velocity."Homework Equations Δdy=ViyΔt + 0.5ayΔt2 Rearranged...

Homework Statement When it is 145 m above the ground, a rocket traveling vertically upward at a constant 8.50 m/s relative to the ground launches a secondary rocket at a speed of 12 m/s at an angle of 53 degrees above the horizontal, both quantities being measured by an astronaut sitting in...

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...

My physics instructor and I were arguing about this today. It was a problem involving ranges, but the fundamental issue is this: If you aim a projectile at a target, and the projectile passes 10 meters below the target, do you aim 10 meters above the target to compensate?

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 – .006x2, where x and y are in meters. Determine: (a) the approximate...

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...

I would like to better understand how to work Velocity of a Projectile object. I have homework due tonight but I'm going to turn it in late to have a better understanding. Question: A projectile is launched with an initial velocity of 39.3 m/s at 56.2° above the horizontal. Calculate the...

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 At the Earth's surface, a projectile is launched straight up at a speed of 9.6 km/s. To what height will it rise? Ignore air resistance and the rotation of the Earth. Homework Equations Conservation of mechanical energy K_i + U_i = K_f + U_f The Attempt at a...

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...

I was thinking about meteorioids and how upon their entry into the atmosphere the large amount of disintegration they experience so i wanted to try running through a calculation of something similar to see if i could i understand it better. I'm going to outline a general thought process I've...

Homework Statement A projectile is fired with an initial speed v at an angle 40 degrees above the horizontal from a height of 40m above the ground. The projectile strikes the ground with a speed of 1.4v. Find v. The Attempt at a Solution All I could find i Vinitialx=vcos40 and...

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...

Hi, not sure if I am posting in the correct area but I need some help looking over a piece of homework. The question is in the image I have linked below but I will type out the question anyway. A missile leaves the ground with a velocity of 200ms-1 at an angle of 60° to the horizontal...

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 A cannonball is launched with initial velocity of magnitude v0 over a horizontal surface. At what minimum angle θmin above the horizontal should the cannonball be launched so that it rises to a height H which is larger than the horizontal distance R that it will travel...

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...

Homework Statement Eddie "The Eagle" Edwards takes off on the 90 m ski-jump with a horizontal velocity of 20 m/s. If the gradient of the landing slope is as shown, find the distance L along the slope covered by his jump,ignore any effect of the air on this eagle. Image given...

Homework Statement A projectile of mass 22kg is fired at an angle of 55 degrees to horizontal with a speed of 350ms-1. At the highest point of trajectory the projectile explodes into two equal fragments, one lands directly beneath the explosion and the other flies off. I have done the parts...

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...