2. The displacements of a particle on a vibrating string as a periodic function of time t can be modeledfor one cycle ass (t) = 10 +114 sin (2πt), 0≤ t ≤ 1.Displacement units are cm, time units are seconds.(a) Find the velocity v (t) and acceleration a (t) of the particle.(b) At time t = 1/3, find the velocity and acceleration. Include the units of measurement in your answer.Is the particle moving left or moving right? Is the particle speeding up or slowing down? Provide yourreasoning.(c) Determine the maximum speed of the particle. Verify your answer.

Given the dis-placement of a particles(t) = 10 + 1/4sin(2πt)

Answered: 2. The displacements of a particle on a…

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