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The motion of a particle along a straight line is described by equation :
x = 8 + 12t – t³
where x is in metre and t in second. The retardation of the particle when its velocity becomes zero, is :
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- 24 ms–2
- zero
- 6 ms–2
- 12 ms–2
Correct Option: D
x = 8 + 12t – t³
The final velocity of the particle will be zero, because it retarded.
V = 0 + 12 – 3t² = 0
3t² = 12
t = 2 sec
Now the retardation
a = dv/dt = 0 – 6t
a [t = 2] = – 12 m/s²
retardation = 12 m/s²
