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Physics / College Physics 1 / Chapter 2 / Problem 52

College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs

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Solved: An object is dropped from a height of 75.0 m above

Chapter 2, Problem 52

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QUESTION:

Problem 52PE

An object is dropped from a height of 75.0 m above ground level. (a) Determine the distance traveled during the first second. (b) Determine the final velocity at which the object hits the ground. (c) Determine the distance traveled during the last second of motion before hitting the ground.

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QUESTION:

Problem 52PE

An object is dropped from a height of 75.0 m above ground level. (a) Determine the distance traveled during the first second. (b) Determine the final velocity at which the object hits the ground. (c) Determine the distance traveled during the last second of motion before hitting the ground.

ANSWER:

Step 1 of 4

First we have to calculate distance travelled in first second

Determining the final at which the object hits the ground and finally we have determine the distance travelled during the last second of motion during the last second before hitting the ground.

Step[ 2 of 4

a) The direction of gravity in y axis

$h(t)={h}_{0}+{v}_{0}t+\frac{g{t}^{2}}{2}$

Initial velocity of the object, ${v}_{0}=0$

Gravitational acceleration, g=9.8 m/ ${s}^{2}$

Initial height , ${h}_{0}=0\ m$

Final height, ${h}_{f}=75\ m$

$h(t)=\frac{g{t}^{2}}{2}$

Equation of motion is

${s}_{0}=h(1)-h(0)$

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