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Physics help (need help in part e and f )
A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the origin, at t = 0 and moves to the right. The amplitude of its motion is 2.10 cm, and the frequency is 1.70 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.)
x = 2.10sin(10.68t)
(b) Determine the maximum speed of the particle.
(c) Determine the earliest time (t > 0) at which the particle has this speed
(d) Find the maximum positive acceleration of the particle.
(e) Find the earliest time (t > 0) at which the particle has this acceleration.
(f) Determine the total distance traveled between t = 0 and t = 0.88 s.
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