Concept explainers
Suppose you use videos to analyze the motion of penguins as they slide from rest down three different frictionless ramps (A, B, C) and into the water. The distances they travel and the times elapsed are recorded in the following table:
Ramp | A | B | C |
distance, m | 4.09 | 1.96 | 1.08 |
time, s | 2.19 | 1.08 | 0.663 |
(a) Find the magnitude of the penguin’s acceleration for each ramp. Assume the acceleration is uniform. (b) Determine the inclination angle θ above horizontal for each ramp, assuming that the accelerations for part (a) are in close agreement with the formula, a = g sin θ. (We will derive this formula in Chapter 5.)
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