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Question

The position of a body moving along x axis at time t is given by x=(t24t+6) m. The distance travelled by body in time interval t=0 to t=3 s is

A
5 m
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B
7 m
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C
4 m
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D
3 m
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Solution

The correct option is A 5 m
The correct option is A.

Given,

x=t24t+6

So, the change in velocity is:

dxdt=2t4

Since velocity is changing,

At t=0,x1=6

At t=2,x2=2

So the magnitude of the distance traveled is:

62=4m

At t=3,x3=3

So distance traveled from t=2s to t=3s

x3x2=32=1m

Thus the total distance is:

4+1=5m

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