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Question

The x coordinate of a particle moving along x axis is given in terms of time as x = (2-t) (t-6) metre. Find the displacement of the particle (in metre) from time t = 1 to t = 4 second.


A

9

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B

7

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C

4

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D

5

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Solution

The correct option is A

9


Substituting the value, t=1 second in the equation, x = (2-t) (t-6) metre, we get, x= - 5 m

Substituting the value, t=4 second in the equation, x = (2-t) (t-6) metre, we get, x= 4 m

Displacement = final position - initial position =4 - ( - 5) = 9 m


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