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Recitation Worksheet C Solutions

# Recitation Worksheet C Solutions - Worksheet C 1D motion 1...

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Worksheet C: 1D motion 1. The following graph describes the motion of a toy train. It starts moving forwards. a. The speed of the train is zero at t = 0, 8 s and 16 s b. When does the train move forwards? 0 < t < 8 s (when v > 0) c. When does the train move backwards? 8 s < t < 16 s (when v < 0) d. When does the train speed up? 0 < t < 2 s ( v>0 and a>0 ) and 8 s < t < 10 s ( v<0 and a<0 ) e. When does the train travel at constant speed? 2 s < t < 4 s f. At t = 6 s, the acceleration is a = 2 0 4 m/s 1 m/s 4 s v a t = = = − (slope of v-t curve) v x (m/s) 2 4 6 8 10 12 14 16 4

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(Worksheet C) g. At t = 8 s, the acceleration is a = 2 1 m/s a = − (same slope) h. At t = 16 s, the instantaneous acceleration is a i = Draw the tangent line to the curve at t = 16 s. From the figure, this line goes (more or less) through (t, v) = (16 s, 0) and (14 s, -2 m/s). Thus, 2 0 ( 2) m/s slope of tangent line 1 m/s 16 s 14 s a − − = = = i. The average acceleration between t = 10 and t = 16 s is a average = 2 average 0 ( 2) m/s 0.3 m/s 16 s 10 s v a t − − = = = j. Estimate the total displacement of the train.
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