A foul ball is hit straight up into the air with a speed of 30 m/s, and air resistance is negligible. (a) Calculate the time required for the ball to rise to its maximum height. (b) Calculate the maximum height reached by the ball above the point where it hit the bat. (c) Determine the times at which the ball passes a point 25 m above the point where it was hit by the bat and explain why there are two answers.

A foul ball is hit straight up into the air with a speed of 30 m/s, and air resistance is negligible. (a) Calculate the time required for the ball to rise to its maximum height. (b) Calculate the maximum height reached by the ball above the point where it hit the bat. (c) Determine the times at which the ball passes a point 25 m above the point where it was hit by the bat and explain why there are two answers.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 7OQ: A projectile is launched on the Earth with a certain initial velocity and moves without air...

See similar textbooks

Similar questions

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.
A person on the top of a roof of a building (100 m) drops a ball. After 2s passed, a person who stands at the base of the same building throws a separate ball in the upward direction with a speed of 20 m/s. Assumes the two balls are traveling on the same vertical path. Will the two balls collide with each other? If so, what are their velocities as they collide with each other?
A projectile launcher is clamped to a bench with the muzzle 0.85 m from the floor. It launches a small ball at an angle of 35° with a velocity of 15.5 m/s. The ball travels freely until it eventually hits the floor, assuming no air resistance or draughts calculate the following: a) The time it takes to reach its maximum height. b) The maximum height of the ball above the floor. c) The total time the ball spent in the air d) The total distance travelled horizontally by the ball from the end of the muzzle to its first impact with the floor.
A ball is thrown horizontally with a velocity of 5 m/s from the top of a tall cliff. Neglecting air drag, a) What is the speed of the ball 2 seconds later. b) What vertical distance has the ball fallen 2.0 seconds later? You must include a sketch to solve
A golf ball is fired straight up into the air from ground level. It reaches a maximum height at ℎ = 504 meters. Calculate the initial speed of the golf ball in meters per second.
A quarterback throws a football with an initial velocity of 25 m/s at an angle of 40 degrees above the horizontal. Calculate the following: a) The maximum height the football reaches above its starting point.b) The time it takes for the football to reach its maximum height.c) The horizontal distance the football travels before it hits the ground.d) The total time the football is in the air. (Note: Assume that air resistance is negligible, and use a standard acceleration due to gravity of 9.8 m/s².)
During the siege of Constantinople that led to its conquest by the Ottomans in 1453, the Hungarian engineer Orban built a set of bombards (primitive cannon) to throw enormous stones at the city to breach its walls. The largest of these could throw a 300 kg stone a distance x = 2 km. Assume that the stone was launched at an angle of 0 = 45 degrees above the horizontal; in the absence of air resistance, this gives the largest range. a) What speed did the stone have to be launched at to achieve this range? b) How long was the ball in the air? c) How fast was the ball traveling at the apex of its flight?
An object is thrown vertically upwards with an initial velocity of 3 m/s from a ladder which is 5 m above ground level. Taking g to be 10 m/s/s, (a) express the height, h, of the object above the ground as a function of time, t; and (b) use the expression in (a) to find the time the object hits the ground and the velocity with which it strikes the ground. a. h = -5 + 3t - 5t^2; t = 1.34 s; v = -10.4 m/s b. h = 5 + 3t - 5t^2; t = 1.34 s; v = 10.4 m/s c. h = -5 + 3t - 5t^2; t = 1.34 s; v = 10.4 m/s d. h = 5 + 3t - 5t^2; t = 1.34 s; v = -10.4 m/s
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.
Suppose I throw a rock horizontally with an initial speed of 30 m/s. Suppose my release point is 2 m above the ground. (a) How long does it take for the rock to hit the ground? (b) How far in the horizontal direction does the rock travel? (c) What is the speed of the rock right before it hits the ground?
The ceiling of a classroom is 3.00 m above the floor. A student tosses an apple vertically upward, releasing it 0.55 m above the floor. What is the maximum initial speed that can be given to the apple if it is not to touch the ceiling?
4. A pool ball leaves a 0.29-meter-high table with an initial velocity of 3.6 m/s. (a) What is the time required for the pool ball to fall to the ground? (b) What is horizontal distance between the table's edge and the ball's landing location? (c) What is the final velocity of the pool ball before reaching the ground?