Consider a particle moving in simple harmonic motion according to the equation

where x is in centimeter and t in second. The motion is started at t = 0. (a) When does the particle come to rest for the first time? (b) When does the acceleration have its maximum magnitude for the first time? (c) When does the particle come to rest for the second time?

(a) 1.6 × 10^{-2} s

(b) 1.6 × 10^{-2} s

(c) 3.6 × 10^{-2} s

So, ,

As the particle comes to rest for the first time

b) acceleration of the particle

=

For the maximum acceleration the expression

should bear its maximum value i.e. -1

So,

c) the particle comes to rest second time after

1