The position of a particle moving along x-axis is given by x = 0.05 sin (15(rad/s)t + 0.5 rad)m.Its acceleration at t = 0.5 sec is A)-1.56 m/s². B)-11.13 m/s². C)-15.6 m/s². D)-19.5 m/s². E)-31.9 m/s².

Question

Quizplus · Accepted Answer

Acceleration is the second derivative of position with respect to time.
Taking derivative of the given position function two times we get, 
a = d^2x/dt^2 = -112.5sin(15t+0.5) m/s^2
Putting t=0.5 sec, we get
a = -112.5sin(8) m/s^2 = -11.13 m/s^2 (approx)
Therefore, the option B is correct.

The Position of a Particle Moving Along X-Axis Is Given