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:
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a
24 ms-2
b
Zero
c
6 ms-2
d
12 ms-2
answer is D.
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Detailed Solution
v= dxdt= 12-3t2= 0 at t=2 s a= dvdt= -6t = -12 m/s2
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: