The instantaneous velocity of the object is 36 m/s
The given displacement equation of motion;
[tex]d(t) = 3t(t+2 )[/tex]
To find:
the instantaneous velocity after 5 s;
The instantaneous velocity is the change in displacement per change in time of motion at the given time.
[tex]v = \frac{d.d(t)}{dt} = 6t + 6[/tex]
at t = 5 seconds, v = 6(5) + 6 = 36 m/s
Thus, the instantaneous velocity of the object is 36 m/s
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