Question 141: Motion in 1D

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 in second. The retardation of the particle when its velocity  becomes zero is

Accepted Answer

Given x = 8 + 12t $$-$$ t
3
Velocity, v = $${{dx} \over {dt}}$$ = 12 - 3t
2
When  v = 0, then 12 - 3t
2
= 0
$$ \Rightarrow $$ t = 2 s
$$a = {{dv} \over {dt}}$$ = - 6t
$$ 	herefore $$ At t = 2 s, $$a$$ = - 12 m/s
2
$$ 	herefore $$ Retardation = 12 m/s
2

Answer

24 m s$$-$$2

Answer

zero

Answer

6 m s$$-$$2

Answer

12 m s$$-$$2

Motion in 1D

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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