A package is oscillating on a spring scale with a period of 4.60 s. At time t=0.00 s the package has zero speed and is at x=8.30 cm. At what time after t=0.00 s will the package first be at x=4.15 cm?
A) 0.767 s
B) 1.30 s
C) 1.15 s
D) 0.575 s
E) 1.53 s

Question

A package is oscillating on a spring scale with a period of  4.60 s. At time  t=0.00 s the package has zero speed and is at  x=8.30 cm. At what time after  t=0.00 s will the package first be at  x=4.15 cm?
A)  0.767 s
B)  1.30 s
C)  1.15 s
D)  0.575 s
E)  1.53 s

Quizplus · Accepted Answer

The package is undergoing simple harmonic motion. The time to reach half the amplitude (from 8.30 cm to 4.15 cm) is a quarter of the period, which is 4.60 s / 4 = 1.15 s.

A Package Is Oscillating on a Spring Scale with a Period