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Question

The displacement travelled by a particle in a straight-line motion is directly proportional to t1/2, where t= time elapsed. What is the nature of motion?

A
Increasing acceleration
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B
Decreasing acceleration
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C
Increasing retardation
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D
Decreasing retardation
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Solution

The correct option is D Decreasing retardation
St12
S=kt12
To get acceleration we need to differentiate s twice
a=d2Sdt2=14kt3/2
Negative sign indicates that it is retardation and as its value is decreasing with time so, it is decreasing retardation.

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