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Exercise 2.48 A large boulder is ejected vertically upward from a volcano with a

ID: 1644196 • Letter: E

Question

Exercise 2.48

A large boulder is ejected vertically upward from a volcano with an initial speed of 40.5 m/s . Air resistance may be ignored.

Part A

At what time after being ejected is the boulder moving at a speed 20.5 m/s upward?

2.04

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Correct

Part B

At what time is it moving at a speed 20.5 m/s downward?

6.22

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Correct

Part C

When is the displacement of the boulder from its initial position zero?

8.27

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Correct

Part D

When is the velocity of the boulder zero?

4.13

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Correct

Part E

What is the magnitude of the acceleration while the boulder is moving?

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Part F

What is the direction of the acceleration while the boulder is moving?

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Exercise 2.48

A large boulder is ejected vertically upward from a volcano with an initial speed of 40.5 m/s . Air resistance may be ignored.

Part A

At what time after being ejected is the boulder moving at a speed 20.5 m/s upward?

t =

2.04

  s  

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Correct

Part B

At what time is it moving at a speed 20.5 m/s downward?

t =

6.22

  s  

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Correct

Part C

When is the displacement of the boulder from its initial position zero?

t =

8.27

  s  

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Correct

Part D

When is the velocity of the boulder zero?

t =

4.13

  s  

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Correct

Part E

What is the magnitude of the acceleration while the boulder is moving?

a =   m/s2  

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Part F

What is the direction of the acceleration while the boulder is moving?

up down

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Explanation / Answer

Part E: Magnitude of acceleration=9.81 m/s2

Part F :The direction of the acceleration while the boulder is moving is always down