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 1.60 cm, and the frequency is 2.70 Hz.
(a) Find an expression for the position of the particle as a function of time. (Use the following as necessary: t, and ?.)
x =
(b) Determine the maximum speed of the particle.
cm/s
(c) Determine the earliest time (t > 0) at which the particle has this speed
s
(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.
s
(f) Determine the total distance traveled between t = 0 and t = 0.56 s.