A cart begins to move from rest on a horizontal track. Which of the following correctly indicates the magnitude of the average velocity of the cart during the interval shown and provides a valid explanation?
Hint: when solving this, consider that the area of the acceleration vs time graph tells you the change in velocity.

Question

A cart begins to move from rest on a horizontal track. Which of the following correctly indicates the magnitude of the average velocity of the cart during the interval shown and provides a valid explanation?
Hint: when solving this, consider that the area of the acceleration vs time graph tells you the change in velocity.(a) Less than $2\,\text{m/s}$ because the cart has a velocity of $2\,\text{m/s}$ for the first half of the interval and zero velocity for the second half.
, (b) Less than $2\,\text{m/s}$ because the cart is traveling at a speed of $2\,\text{m/s}$ or less during the time interval.
, (c) Equal to $2\,\text{m/s}$ because the cart is initially at rest and then moves at a constant speed of $2\,\text{m/s}$ during the second half of the interval.
, (d) Equal to $2\,\text{m/s}$ because the cart has an average acceleration of $1\,\text{m/s}^2$ over an interval of $2\,\text{s}$.
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Jason · Accepted Answer

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