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Find the distance travelled by a body ha...

Find the distance travelled by a body having velocity `v = 1 - t^(2)` from t = 0 tol t = 2 sec .

A

`3m`

B

`2m`

C

`1m`

D

`4m`

Text Solution

Verified by Experts

The correct Answer is:
B
Find the …………….

distance `= int_(0)^(2)|1-t^(2)|dt`
distance `= int_(0)^(1)(1-t^(2))dt+int^(2)-(1-t^(2))dt`
distance `= [t - (t^(3))/(3)]_(0)^(1) - [t-(t^(3))/(3)]_(1)^(2) = (2)/(3)- ((-4)/(3)) = 2m`
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