Acceleration and Moving Objects

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The discussion revolves around the motion of a boulder ejected from a volcano, focusing on its velocity and acceleration at various points. The initial speed is 40.1 m/s upward, and the acceleration due to gravity is 9.80 m/s². For parts e and f, it is clarified that the magnitude of the acceleration remains constant at 9.80 m/s² regardless of whether the boulder is moving upward or downward. The direction of acceleration is always downward due to gravity, even when the boulder is moving upward. Understanding these concepts is crucial for solving the motion equations related to the boulder's trajectory.
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A large boulder is ejected vertically upward from a volcano with an initial speed of 40.1 m/s. (Air resistance can be ignored.)

a) At what time after being ejected is the boulder moving at 19.2 m/s upward? (g = 9.80 m/s^2)
b) At what time is it moving at 19.2 m/s downward? (g = 9.80 m/s^2)
c) When is the displacement of the boulder from its initial position zero? g = 9.80 m/s^2
d) When is the velocity of the boulder zero? g = 9.80 m/s^2

I did and understand these four parts. Now the following two parts are the ones I do not understand.


e) What is the magnitude of the acceleration while the boulder is moving? (Take g = 9.80 m/s^2 for free fall acceleration)

Well, the boulder can move up or down, but is the magnitude 9.80 m/s^2 for both scenarios?

f. What is the direction, up or down, of the acceleration while the boulder is moving?

Won't the direction be down?

Thanks for any help.
 
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Yep you have that question licked it seems.
 
Let me try to help. For (a) I think you need something similar to V=Vo+at
 
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