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 41.8 cm/s and oscillates with a period of 3.00 s, what is the ball's velocity at t = 0.500 s?

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Asked Nov 30, 2019
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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 41.8 cm/s and oscillates with a period of 3.00 s, what is the ball's velocity at t = 0.500 s?

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The expression for velocity is given by v(t) Acosin (7) 27T Since v = A0,and o=. -equation [1]is written as Т max 2л sin v() -t + max Т 2л -(0.500s) T 3s =(41.8cm/s)sin (41.8cm/s)(-0.866) =-36.198m/s The ball velocity at timet 0.500s is -36.198m/s

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