First slide

Instantaneous velocity

Question

A particle starts from rest from the origin and moves along the X-axis. Its position as a function of time is given by $x = 6 t^{2} - t^{3}$ , here x is in meters and t is in seconds. The velocity of the particle at the equilibrium position is

Easy

A

6 m/s
B

- 12 m/s
C

12 m/s
D

- 6 m/s

Solution

At the equilibrium position $a = 0 . v = 12 t - 3 t^{2} and a = 12 - 6 t$

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