Displacement of SHM particle is `x= 5 sin pi t` where x is in cm. Then how much time taken by the particle from the mean position to at maximum displacement.

Explanation

`x= 5sin pi t`
Maximum distance x= 5 cm
`therefore 5= 5 sin pi t`
`therefore 1= sin pi t`
`therefore (pi)/(2) = pi t`
`therefore t= (1)/(2)s`.