cq_1_051

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Seed q 5

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 = 8 cm/s/s

dt = 3 s

v1 = 12 cm/s

dv = a * dt

vf = v1 + (a*dt)

vf = 12 cm/s + (8cm/s/s * 3s)

vf = 12 cm/s + 24 cm/s = 36cm/s

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

answer/question/discussion:

v1 = 12 cm/s

vf = 36 cm/s

vAve = (v1+vf)/2

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

vAve = 48 cm/s / 2 = 24 cm/s

How far will it travel during this interval?

answer/question/discussion:

ds = vAve * dt

Ds = 24cm/s * 3s = 72cm

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15 minutes

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