First slide
Instantaneous acceleration
Question

The motion of a particle along a straight line is described by equation x = 8+12t-t3, where x is in metre and t is in second. The retardation of the particle when its velocity becomes zero, is:

Moderate
Solution

v= dxdt= 12-3t2= 0  at t=2 s a= dvdt= -6t = -12 m/s2 

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