The graph shown is of velocity versus time.Which statement best describes the acceleration? A)The acceleration is never zero. B)The acceleration is maximum near t = 10 s. C)The acceleration is minimum near t = 10. D)The acceleration is minimum near t = 100 at about -0.15 m/s². E)The average value of the acceleration is about 0.08 m/s².

Question

Quizplus · Accepted Answer

The acceleration is given by the slope of the velocity-time graph. Therefore, the acceleration is minimum when the slope is closest to zero, which occurs near t = 100 s. The slope is negative at this point, indicating a negative acceleration of approximately -0.15 m/s^2. Option A is incorrect as the acceleration is zero in several intervals. Option B is incorrect as the maximum acceleration occurs near t = 45 s. Option C is incorrect as the velocity is constant and, therefore, acceleration is zero at t = 10 s. Option E is incorrect as the average acceleration is calculated by dividing the change in velocity by the change in time, which cannot be determined from the graph.

The Graph Shown Is of Velocity Versus Time