A block is attached to a spring. It is sliding back and forth on a frictionless

Question

A block is attached to a spring. It is sliding back and forth on a frictionless surface. The graph below represents the displacement of the block from equilibrium as a function of time.

Evaluate each of the following statements:
True False Greater than Equal to Less than  The speed at point F is _____ the speed at point H.
True False Greater than Equal to Less than  The speed at point I is at a maximum.
True False Greater than Equal to Less than  The speed at point H is _____ the speed at point D.
True False Greater than Equal to Less than  The amplitude of the motion is 30cm.

Explanation / Answer

The speed or the magnitude of the velocity can be calculated from the displacement vs time graph by calculating the slope at that point of time.

since slope at point H is greater that that of at point F, the speed at point F is less than the speed at point H.

The slope at point I is zero so speed will be zero. False

The magnitude of the slope at both H and D points are same so the speed at point H is equal to the speed at point D.

The amplitude of the motion is 15cm so it is False.

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