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For each situation state which of the five quantities v0, vf, `ds, `dt and a are given, and give the value of each.
· A ball accelerates uniformly from 10 cm/s to 20 cm/s while traveling 45 cm.
answer/question/discussion: v0 = 10cm/s, vf = 20cm/s, ‘ds = 45cm
· A ball accelerates uniformly at 10 cm/s^2 for 3 seconds, and at the end of this interval is moving at 50 cm/s.
answer/question/discussion: a = 10cm/s^2, ‘dt = 3s, vf = 50cm/s
· A ball travels 30 cm along an incline, starting from rest, while accelerating at 20 cm/s^2.
answer/question/discussion: ‘ds = 30cm, a = 20cm/s^2
Then for each situation answer the following:
· Is it possible from this information to directly determine vAve?
answer/question/discussion: Situation #1: vAve = (v0+vf)/2 = (10cm/s + 20cm/s) / 2 = 15cm/s
Situation #2: no, you need either the initial and final velocity or the ‘ds and the ‘dt.
Situation #3: no, same applies as situation #2.
· Is it possible to directly determine `dv?
answer/question/discussion: Sit #1: yes, because you have v0 and vf (‘dv = vf-vo)
Situation #2: yes, ‘dv can also be found by multiplying a *’dt = 10cm/s/s * 3s = 30cm/s
Situation #3: no, there isn’t enough information.
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15 min
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Very good responses. Let me know if you have questions.