Variable acceleration?

Question

The displacement s m of a particle after t seconds is given by s=t4−4t

The particle is stationary after____s

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Answer 1 · 2018-04-19T15:30:30

#1"s"#

The particle is stationary when its velocity is #0#.

Velocity is the derivative of displacement.

#(ds)/(dt)=4t^3-4#
#0=4t^3-4#
#4=4t^3#
#1=t^3#
#1=t#