1. A ball is thrown horizontally from the top of a 60.0-m building and lands 100.0 m from the base of the building. Ignore air resistance. (a) How long is the ball in the air? (b) What must have been the initial horizontal component of the velocity? (c) what is the vertical component of the velocity just before the ball hits the ground? (d) What is the velocity (including both the horizontal and vertical components) of the ball just before it hits the ground? (e) Construct a graph of the position, velocity, and acceleration of the ball from launch to landing.

1. A ball is thrown horizontally from the top of a 60.0-m building and lands 100.0 m from the base of the building. Ignore air resistance. (a) How long is the ball in the air? (b) What must have been the initial horizontal component of the velocity? (c) what is the vertical component of the velocity just before the ball hits the ground? (d) What is the velocity (including both the horizontal and vertical components) of the ball just before it hits the ground? (e) Construct a graph of the position, velocity, and acceleration of the ball from launch to landing.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter4: Motion In Two And Three Dimensions

Section: Chapter Questions

Problem 56P: Olympus Mons on Mars is the largest volcano in the solar system, at a height of 25 km and with a...

See similar textbooks

Similar questions

In the blizzard of ’88, a rancher was forced to drop hay bales from an airplane to feed her cattle. The plane flew horizontally at 160 km/hr and dropped the bales from a height of 80 m above the flat range, (a) She wanted the bales of hay to land 30 m behind the cattle so as to not hit them. Where should she push the bales out of the airplane? (b) To not hit the cattle, what is the largest time error she could make while pushing the bales out of the airplane? Ignore air resistance.
A projectile is launched on the Earth with a certain initial velocity and moves without air resistance. Another projectile is launched with the same initial velocity on the Moon, where the acceleration due to gravity is one-sixth as large. How does the range of the projectile on the Moon compare with that of the projectile on the Earth? (a) It is one-sixth as large. (b) It is the same. (c) It is 6 times larger. (d) It is 6 times larger. (e) It is 36 times larger.
Olympus Mons on Mars is the largest volcano in the solar system, at a height of 25 km and with a radius of 312 km. If you are standing on the summit, with what Initial velocity would you have to fire a projectile from a cannon horizontally to clear the volcano and land on the surface of Mars? Note that Mars has an acceleration of gravity of 3.7m/s2 .
A home run is hit in such a way that the baseball just clears a wall 21.0 m high, located 130 m from home plate. The ball is hit at an angle of 35.0 to the horizontal, and air resistance is negligible. Find (a) the initial speed of the ball, (b) the time it takes the ball to reach the wall, and (c) the velocity components and the speed of the ball when it reaches the wall. (Assume the ball is hit at a height of 1.00 m above the ground.)
Projectile. A cannonball is catapulted toward a castle. The cannonball’s velocity when it leaves the catapult is 40 m/s at an angle of 370 with respect with the horizontal and the cannonball is 7.0 m above the ground at that time. (a) What is the maximum height above the ground reached by the cannonball? (b) Assuming the cannonball makes it over the castle walls and lands back down on the ground, at what horizontal distance from its release point will it land? (c) What are the x and y components of cannonball’s velocity just before it lands? The y-axis points up.
3. A ball is thrown horizontally from the top of a 100.0-m building and lands 150 m from the base of the building. Ignore air resistance. (a) How long is the ball in the air? (b) What must have been the initial horizontal component of the velocity? (c) What is the vertical component of the velocity just before the ball hits the ground? (d) What is the velocity (including both the horizontal and vertical components) of the ball just before it hits the ground?
For all questions, assume concepts such as friction or air resistance are negligible, unless stated otherwise in the question. A ball is launched from ground level at an angle of 60˚ and with a speed of 15 m/s. a)What is the maximum height the ball will reach? b)How far horizontally will the ball travel before returning to ground level?
6. A ball is fired from the origin with an initial velocity of 60.0 m/s at 70.0° above the x-axis. Ignore air resistance. (a) What are the horizontal and vertical components of the ball's initial velocity? (b) Find the maximum height above the the ball can reach. (c) What are the horizontal and vertical components of the ball's velocity and acceleration at its maximum height?
1. A physics book slides off a horizontal table top with a speed of 1.10 m/s. It strikes the floor in 0.350 s. Ignore air resistance. Find (a) the height of the table top above the floor; (b) the horizontal distance from the edge of the table to the point where the book strikes the floor; (c) the horizontal and vertical components of the book’s velocity, and the magnitude and direction of its velocity, just before the book reaches the floor. (d) Draw x-t, y-t, and graphs for the motion.
An object is launched at a velocity of 20 m/s in a direction making an angle of 45° upward with the horizontal. a) What is the maximum height reached by the object? b) If the object has a time of flight of 2.9 s, what is the horizontal range of the object?
1. In this problem we ignore air resistance. When a glass slides off a horizontal countertop with a speed of 2.10 m/s. It strikes the floor broken in 0.5 s. Find (a) the height of the countertop above the floor; (b) the horizontal distance from the edge of the table to the point where the glass strikes the floor and break; (c) the horizontal and vertical components of the glass's velocity, and the magnitude and direction of its velocity, just before the glass break reaches the floor. (d) Draw x-t, y-t, Vx-t, and vyt graphs for the motion.
A ball is thrown horizontally from the top of a 60.0m building and lands 100.0m from the base of the building. Ignore the air resistance. A) how long is the ball in the air? B) what must have been the initial horizontal component of the velocity? C) what is the vertical component of the velocity juet before the ball hits the gruond? D) what is the impact velocity?