The diagram below shows the trajectory for a projectile launched non-horizontally from an elevated position on top of a cliff. The initial horizontal and vertical components of the velocity are shown. Determine the horizontal and vertical components of the projectile by filling in the table shown.

The diagram below shows the trajectory for a projectile launched non-horizontally from an elevated position on top of a cliff. The initial horizontal and vertical components of the velocity are shown. Determine the horizontal and vertical components of the projectile by filling in the table shown.

Name: 1. The diagram below shows the trajectory for a projectile launched n
Uploaded: 2024-03-20T06:57:47.000Z
Channel: Bartleby
Description: 1. The diagram below shows the trajectory for a projectile launched non-horizontallyfrom an elevated position on top of a cliff. The initial horizontal and verticalcomponents of the velocity are shown. Determine the horizontal and verticalcomponents

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter3: Two-dimensional Kinematics

Section: Chapter Questions

Problem 48PE: Prove that the trajectory of a projectile is parabolic, having the form y=ax+bx2. To obtain this...

See similar textbooks

Similar questions

A projectile is launched from the point (x = 0, y = 0), with velocity (12.0i19.0j)m/s2, at t = 0. (a) Make a table listing the projectiles distance r from the origin at the end of each second thereafter, for 0 t 10 s. Tabulating the x and y coordinates and the components of velocity vx and vy will also be useful. (b) Notice that the projectiles distance from its starting point increases with time, goes through a maximum, and starts to decrease. Prove that the distance is a maximum when the position vector is perpendicular to the velocity. Suggestion: Argue that if v is not perpendicular to r, then r must lie increasing or decreasing. (c) Determine the magnitude of the maximum displacement. (d) Explain your method for solving part (c).
Two students are on a balcony a distance h above the street. One student throws a ball vertically downward at a speed vi, at the same time, the other student throws a ball vertically upward at the same speed. Answer the following symbolically in terms of vi, g, h. and t. (a) What is the time interval between when the first ball strikes the ground and the second ball strikes the ground? (b) Find the velocity of each ball as it strikes the ground, (c) How far apart are the balls at a time t after they are thrown and before they strike the ground?
A father demonstrates projectile motion to his children by placing a pea on his forks handle and rapidly depressing the curved tines, launching the pea to heights above the dining room table. Suppose the pea is launched at 8.25 m/s at an angle of 75.0 above the table. With what speed does the pea strike the ceiling 2.00 in above the table?
A World War II bomber flies horizontally over level terrain with a speed of 275 m/s relative to the ground and at an altitude of 3.00 km The bombardier releases one bomb. (a) How far does the bomb travel horizontally between it release and its impact on the ground? Ignore the effects of air resistance. (b) The pilot maintains the planes original course, altitude, and speed through a storm of flak. Where is the plane when the bomb hits the ground? (c) The bomb hits the target seen in the telescopic bombsight at the moment of the bombs release. At what angle from tin- vertical was the bombsight set?
A rocket is launched at an angle of 53.0 above the horizontal with an initial speed of 100. m/s. The rocket moves for 3.00 s along its initial line of motion with an acceleration of 30.0 m/s2. At this time, its engines fail and the rocket proceeds to move as a projectile. Find (a) the maximum altitude reached by the rocket, (b) its total time of flight, and (c) its horizontal range.
Prove that the trajectory of a projectile is parabolic, having the form y=ax+bx2. To obtain this expression, solve the equation x=v0xt for t and substitute it into the expression for y=v0yt(1/2)gt2 (These equations describe the x and y positions of a projectile that starts at the origin.) You should obtain an equation of the form y=ax+bx2 where a and b are constants.
Unreasonable Results A commercial airplane has an air speed of 280 m/s due east and flies with a strong tailwind. It travels 3000 km in a direction 5° south of east in 1.50 h. (a) What was the velocity of the plane relative to the ground? (b) Calculate the magnitude and direction of the tailwind's velocity. (c) What is unreasonable about both of these velocities? (d) Which premise is unreasonable?
The vector position of a particle varies in time according to the expression r=3.00i6.00t2j, where r is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (b) Determine the acceleration of the particle as a function of time. (c) Calculate the particles position and velocity at t = 1.00 s.
A daring ranch hand sitting on a tree limb wishes to drop vertically onto a horse galloping under the tree. The constant speed of the horse is 10.0 m/s, and the distance from the limb to the level of the saddle is 3.00 m. (a) What must be the horizontal distance between the saddle and limb when the ranch hand makes his move? (b) For what time interval is he in the air?
The world long jump record is 8.95 m (Mike Powell, USA, 1991). Treated as a projectile, what is the maximum range obtainable by a person if he has a take-off speed of 9.5 m/s? State your assumptions.
An object is launched vertically in the air at 31.85 meters per second from a 4-meter-tall platform. Using the projectile motion model h(t)=−4.9t2+v0t+h0, where h(t) is the height of the projectile t seconds after its departure, v0 is the initial velocity in meters per second, and h0 is the initial height in meters, determine how long it will take for the object to reach its maximum height. What is the maximum height? The object will reach its maximum height in how manyseconds. what is the maximum height obtained by the ball
Steve Young stands on the 20-yard line, poised to throw long. He throws the ball at initial velocity v0v0 equal to 15.1 m/s and releases it at an angle θθ equal to 45.0∘∘. 1) Having faked an end around, Jerry Rice comes racing past Steve at a constant velocity VJ equal to 8.00 m/s, heading straight down the fild. Assuming that Jerry catches the ball at the same height above the ground that Steve throws it, how long must Steve wait to throw, after Jerry goes past, so that the ball falls directly into Jerry's hands? (Express your answer to three significant figures.) ss 2) Jerry is coming straight past Steve at VJ equal to 8.00 m/s. But just as Jerry goes past, Steve starts to run in the same direction as Jerry with VS equal to 1.10 m/s. How long must Steve wait to release the ball so that it falls directly into Jerry's hands? (Express your answer to three significant figures.)