The velocity of a mass attached to a spring is given by v = (1.5 cm/s) sin(ωt + π/2), where ω = 3.0 rad/s. What is the corresponding expression for x?
A)x = -(4.50 cm) sin(ωt + π/2)
B)x = (4.50 cm) cos(ωt + π/2)
C)x = -(0.50 cm) cos(ωt - π/2)
D)x = -(0.50 cm) cos(ωt + π/2)
E)x = -(0.50 cm) sin(ωt + π/2)

Question

Quizplus · Accepted Answer

The velocity is the derivative of position. Integrating v = (1.5 cm/s) sin(ωt + π/2) gives x = -(0.50 cm) cos(ωt + π/2).

The Velocity of a Mass Attached to a Spring Is