A person bounces up and down on a trampoline, while always stayingin contact wit

Question

A person bounces up and down on a trampoline, while always stayingin contact with it. The motion is simple harmonic motion, and ittakes 1.52 s to complete one cycle. Theheight of each bounce above the equilibrium position is38.0 cm. (a) Determine the amplitude of the motion.
1 m

(b) Determine the angular frequency of the motion.
2 rad/s

(c) What is the maximum speed attained by the person?
3 m/s (a) Determine the amplitude of the motion.
1 m

(b) Determine the angular frequency of the motion.
2 rad/s

(c) What is the maximum speed attained by the person?
3 m/s

Explanation / Answer

Amplitude A= 38 cm = 0.38 m

Period T = 1.52 s

(b). angular frequency w = 2(pi) / T

                                        = 4.133 rad / s

(c).. Maximum speed v= Aw

                                   = 1.57 m / s

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