# Physics Velocity Question

The equation for the displacement in meters of an object moving in SHM is x(t) = 1.50 cos (4.20t) where t is in seconds. (a) What is the maximum speed of the object? (b) At what time does it first reach the maximum speed?

I already got 6.3m/s for A and I got B wrong. I thought it was 1.12 s

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1. v = - 1.50 (4.20) sin 4.2 t
the maximum speed is when the sine function is +1 or -1
since the sign is negative the sine function reaches -1 first.
|v|max = max speed = 1.5*4.2 = 6.3 m/s

this is when 4.2 t is pi/2 radians
t = pi/8.4 = .374 s

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