A mass is oscillating on a spring with a period of 4.60 s. At t = 0 s the mass has zero speed and is at x = 8.30 cm. In any 4.60 s time interval, how much time is the mass more than 4.15 cm away from x = 0 cm?
A) 0.326 s
B) 0.575 s
C) 0.767 s
D) 1.53 s
E) 3.07 s

Question

Quizplus · Accepted Answer

The mass is in simple harmonic motion with an amplitude of 8.30 cm. It is more than 4.15 cm away from x = 0 cm for half of the period, which is 2.30 s. However, since it is symmetric, it is more than 4.15 cm away for 3.07 s in total during one full period.

A Mass Is Oscillating on a Spring with a Period