A baseball catcher is performing a stunt for a television commercial. He will catch a baseball with mass m= 151 g, dropped from rest at a |height y = 88.6 m above his glove. The glove brings the ball to a complete stop in time tglove = 0.025 seconds after the ball hits the glove. Part (a) Use your understanding of kinematic equations to write a formula for the time that the ball is falling before it hits the glove, tight. Use variables from the problem statement alongside g for the acceleration due to gravity to write your equation. Part (b) What is the amount of time tnlight in seconds the ball takes to hit the glove after it is dropped? Part (c) Write an equation for the speed of the ball ug just before it hits the glove. Use g for the acceleration due to gravity and thight for the time it takes for the ball to hit the glove after it is dropped. Part (d) Find the speed of the ball ug in meters per second at the moment it first touches the glove. Part (e) Considering the amount of time tglove it took for the glove to stop the ball, find the magnitude of the net force on the ball in newtons while it is in the gloua

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
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A baseball catcher is performing a stunt for a television commercial. He will catch a baseball with mass m = 151 g, dropped from rest at a
height y = 88.6 m above his glove. The glove brings the ball to a complete stop in time tglove = 0.025 seconds after the ball hits the glove.
Part (a) Use your understanding of kinematic equations to write a formula for the time that the ball is falling before it hits the glove, tflight. Use
variables from the problem statement alongside g for the acceleration due to gravity to write your equation.
Part (b) What is the amount of time tflight in seconds the ball takes to hit the glove after it is dropped?
Part (c) Write an equation for the speed of the ball vg just before it hits the glove. Use g for the acceleration due to gravity and tight for the time it
takes for the ball to hit the glove after it is dropped.
Part (d) Find the speed of the ball vg in meters per second at the moment it first touches the glove.
Part (e) Considering the amount of time tglove it took for the glove to stop the ball, find the magnitude of the net force on the ball in newtons while
it is in the glove.
Transcribed Image Text:A baseball catcher is performing a stunt for a television commercial. He will catch a baseball with mass m = 151 g, dropped from rest at a height y = 88.6 m above his glove. The glove brings the ball to a complete stop in time tglove = 0.025 seconds after the ball hits the glove. Part (a) Use your understanding of kinematic equations to write a formula for the time that the ball is falling before it hits the glove, tflight. Use variables from the problem statement alongside g for the acceleration due to gravity to write your equation. Part (b) What is the amount of time tflight in seconds the ball takes to hit the glove after it is dropped? Part (c) Write an equation for the speed of the ball vg just before it hits the glove. Use g for the acceleration due to gravity and tight for the time it takes for the ball to hit the glove after it is dropped. Part (d) Find the speed of the ball vg in meters per second at the moment it first touches the glove. Part (e) Considering the amount of time tglove it took for the glove to stop the ball, find the magnitude of the net force on the ball in newtons while it is in the glove.
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