Physics

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An object attached to a horizontal spring is oscillating back and forth along a frictionless surface. The maximum speed of the object is 1.91 m/s, and its maximum acceleration is 6.20 m/s2. How much time elapses betwen an instant when the object's speed is at a maximum and the next instant when its acceleration is at a maximum?

• Physics -

y = A cos wt
v = - A w sin wt
a = -A w^2 cos wt = -w^2 y
so
-A w = 1.91
-A w^2 = 6.2

A w/A w^2 = 1.91/6.2

w = 6.2/1.91 = 3.25 = 2 pi/T
T = 2 pi/3.25 = 1.94 s
1/4 period between high speed and high acceleration
T/4 = .484 s

• Physics -

nutz

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