A wooden  ball is tied on a string 30cm long and oscillating like a pendulum.It is initially pulled back at 90° angle with the vertical,and is released with a push so that the ball reaches its maximum height back and fourth.It is reaches its maximum height again after 3 secondsfind its height 10 seconds after it was released.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter7: Hamilton's Principle-lagrangian And Hamiltonian Dynamics
Section: Chapter Questions
Problem 7.2P
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A wooden  ball is tied on a string 30cm long and oscillating like a pendulum.It is initially pulled back at 90° angle with the vertical,and is released with a push so that the ball reaches its maximum height back and fourth.It is reaches its maximum height again after 3 secondsfind its height 10 seconds after it was released.

HINT. the height h(t) (in cm) of the ball at time t (in seconds) is given by h(t)=|30sin π/3(t- 3/2)| +12.

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