Posted by carol on Saturday, November 17, 2012 at 7:48pm.
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  Damon, Saturday, November 17, 2012 at 8:38pm
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  deez, Tuesday, September 29, 2015 at 11:33am
nutz