A 1.00-kg glider attached to a spring with a force constant 25.0 N/m oscillates

Question

A 1.00-kg glider attached to a spring with a force constant 25.0 N/m oscillates on a frictionless, horizontal air track. At t = 0, the glider is released from rest at x = -2.60 cm (that is, the spring is compressed by 2.60 cm). Find the period of the glider's motion. Find the maximum values of its speed and acceleration. Find the position, velocity, and acceleration as functions of time. (Where position is in m, velocity is in m/s, acceleration is in m/s^2, and t is in s. Use the following as necessary: t.)

Explanation / Answer

X(t) = 0.026 sin( 5t +1.5 pi ) m since at t=0 x = -0.026 m and is moving in +ve x axis

V(t) = 0.13 cos( 5t+ 1.5pi ) m/sec

a(t) = - 0.65 sin( 5t + 1.5pi ) m/sec^2

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