Answer:
a = -0.59 m/s^2
v = 0.22 m/s
Explanation:
The equation of motion in simple harmonic motion is defined as
where A is the amplitude, ω is the angular frequency, and Ф is the phase angle which has to be determined by initial conditions.
The period of the motion is given, so the angular frequency could be calculated.
The initial conditions are not given in the question, so I will assume that at t = 0, the block is at the origin (x = 0). (This assumption will not affect our final result, we can as well choose another initial point.)
Let’s find the time when x = 0.160 m.
The velocity function is the derivative of the position function with respect to time.
Similarly, the acceleration function is the derivative of velocity function with respect to time.
A)
B)