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Assertion : Displacement-time equation o...

Assertion : Displacement-time equation of two particles moving in a straight line are, `s_1 = 2t - 4t^2` and `s_2 = -2t + 4t^2.` Relative velocity between the two will go on increasing.
Reason : If velocity and acceleration are of same sign then speed will increase.

A

If the both Assertion and Reason are true and the Reason is correct explanation of the Assertion.

B

If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.

C

If Assertion is true, but the Reason is false.

D

If Assertion is false but the Reason is true.

Text Solution

Verified by Experts

The correct Answer is:
D
`v_1=(ds_1)/(dt)=(2-8t)`
`v_2=(ds_2)/(dt)=(-2+8t)`
`:. v_(12)=v_1-v_2=(4-16t)`
`v_(12)` does not keep on incresing.
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