A velocity-time graph for an object moving along the x axis is shown in the figu

Question

A velocity-time graph for an object moving along the x axis is shown in the figure. Every division along the vertical axis corresponds to 3.50 m/s and each division along the horizontal axis corresponds to 1.50 s. (m/s (es (a) Plot a graph of the acceleration versus time. Choose File no file selected This answer has not been graded yet. (b) Determine the average acceleration of the object in the time interval t = 7.50 s to t = 22.5 s. m/s2 (c) Determine the average acceleration of the object in the time interval t = 0 to t = 30.0 s.

Explanation / Answer

a) Plot of acceleration vs time

Value will be 0 from t=0 till t=7.5 s

Value will be 3.733 m/s^2 from t=7.5 s to t=22.5 s

Value will be 0 from t-22.5 s onwards

b) average acceleration = {V(t2)- V(t1)} / (t2-t1)

=(28-(-28))/(22.5-7.5)

=3.733 m/s^2

c) Average acceleration = (28-(-28))/(30-0)

=1.867 m/s^2

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