TIPERS B7-CRTO6: VELOCITY-TIME GRAPH-FREQUENCY AND PERIOO A cart attached to a s

Question

TIPERS B7-CRTO6: VELOCITY-TIME GRAPH-FREQUENCY AND PERIOO A cart attached to a spring is displaced from equilibeium and then released. There is no friction. A graph of velocity as a function of time for the cart is shown. The arrows and signs ahove the cart indicate the positive and negative directions for the position of the cart Velocity, cm/s 10 1 14 A6 18 22 Time, s (a) What is the period of the motion for this cart? Explain your reasoning. (b) What is the frequency of the motion for this cart? Explain your reasoning. e) In which direction was the cart displaced from equilibrium before it was released? Explain your reasoning Copyright 0 2015 Pearson Education, Inc 226

Explanation / Answer

Part A) time period (t) is the time taken to complete one complete cycle

From the above graph , it takes 8 s to complete one full cycle

Therefore , time period = 8 s

Part B) frequency(f) = 1/time period = 1/t

f = 1/8 = 0.125 Hz

Part C) the cart was displaced to the left from the equilibrium position so that when released the initial velocity is positive(from the graph)

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