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Question

The displacement of a particle is given by x=(t2)2 where x is in metres and t is in seconds. The distance covered by the particle in first 4 seconds is
  1. 8 m
  2. 4 m
  3. 12 m
  4. 16 m

A
4 m
B
8 m
C
12 m
D
16 m
Solution
Verified by Toppr

The distance travelled is given by x=(t2)2=t24t+4

As velocity is given by v=dxdt

v=2t4

Distance covered=|v|dt

=|t24t|

=4tt2for t=0to2

=t24tfor t=2to4

=8units


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