Question

A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the origin, at t0 and moves to the right. The amplitude of its motion is 2.50 cm, and the frequency is 2.90 Hz. (a) Find an expression for the position of the particle as a function of time. (Use the following as necessary: t. Assume that x is in centimeters and t is in seconds. Do not include units in your answer.) x2.5sin (5.8xt) (b) Determine the maximum speed of the particle an (c) Determine the earliest time (t > 0) at which the pale has this speed (d) Find the maximum positive acceleration of the particle cm/s2 (e) Find the earliest time (t > 0) at which the particle has this acceleration. ( Determine the total distance traveled between0 andt0.52 s.

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