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Question
If the displacement of an object is proportional to the square of time, then the object is moving with :
Options
uniform velocity
uniform acceleration
increasing acceleration
decreasing acceleration
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Solution
uniform acceleration
We are given with the relationship that,
x = kt2
Differentiating it twice we get,
v = 2kt
a = 2k
Where,
v - velocity
a - acceleration
So, the answer is
(b) Uniform acceleration
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