Question

A ball is attached to a spring on a frictionless horizontal surface. The ball is pulled...

A ball is attached to a spring on a frictionless horizontal surface. The ball is pulled to the right and released from rest at t = 0 s. If the ball reaches a maximum speed of 43.8 cm/s and oscillates with a period of 3.00 s, what is the ball's velocity at t = 0.300 s?


-21.9 cm/s
-16.9 cm/s
-56.4 cm/s
-25.7 cm/s

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Homework Answers

Answer #1

The ball is released when the ball is at one of the extreme ends and then it oscillates with the same amplitude.

The equation of the motion for the resulting SHM is

This gives the velocity as a function of time

The period of the oscillation is given by

That gives us

The maximum velocity is reached when the sin function in the equation above gets its maximum value (which is 1). i.e

Now, putting the values in the equation

So, the correct answer is 25.7 cm/s.

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