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Question

A particle moves, along a straight line OX. At a time t (in second), the position x (in metre) of the particle from O is given by x=40+4tt4. Displacement of the particle before coming to rest is 
  1. 3 m
  2. 2 m
  3. 4 m
  4. 6 m


Solution

The correct option is A 3 m
x=40+4tt4
At t=0, x0=40 m
We know that velocity, v=dxdt=44t3
When particle comes to rest,
dxdt=v=0
44t3=0t3=1t=1 seconds
At t=1 seconds, x2=40+4(1)14=43 m
Displacement of the particle before coming to rest is given by x2x0=43 m40 m=3 m
Hence, the correct answer is option (a).

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