cq_1_051

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Phy 231

Your 'cq_1_05.1' report has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.

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The problem:

A ball accelerates at 8 cm/s^2 for 3 seconds, starting with velocity 12 cm/s.

• What will be its velocity after the 3 seconds has elapsed?

answer/question/discussion: ->->->->->->->->->->->-> :

a = (vf – v0) / dt

a = acceleration; vf = final velocity; v0 = initial velocity; dt = change in time

a = 8 cm/s^2

vf = ?

v0 = 12 cm/s

dt = 3 s

vf = [(a)*(dt)] + v0

vf = [(8 cm/s^2)*(3 s)] + 12 cm/s = 24 cm/s + 12 cm/s = 36 cm/s

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• Assuming that acceleration is constant, what will be its average velocity during this interval?

answer/question/discussion: ->->->->->->->->->->->-> :

When acceleration is constant:

vAve = (v0 + vf) / 2

vAve = average velocity; v0 = initial velocity; vf = final velocity

vAve = ?

v0 = 12 cm/s

vf = 36 cm/s

vAve = (12 cm/s + 36 cm/s) / 2 = (48 cm/s) / 2 = 24 cm/s

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• How far will it travel during this interval?

answer/question/discussion: ->->->->->->->->->->->-> :

vAve = ds / dt

vAve = average velocity; ds = change in position; dt = change in time

vAve = 24 cm/s

ds = ?

dt = 3 s

ds = (vAve)*(dt)

ds = (24 cm/s)*(3 s) = 72 cm

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15 min

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