Reciprocating piston puzzle, can anybody solve it?

TehSwedishBeast

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The displacement, in metres, of a reciprocating piston, from its point of equilibrium (the mean) is given by the following function:


x= 3 cos( 4t + π/2) where t is time in seconds.


Starting from rest, find the first three times at which the piston passes through the mean position at x=0
 
The displacement, in metres, of a reciprocating piston, from its point of equilibrium (the mean) is given by the following function:


x= 3 cos( 4t + π/2) where t is time in seconds.


Starting from rest, find the first three times at which the piston passes through the mean position at x=0

Hint: Look at the nature of the cos function and find the t intercepts.
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