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If a particle moves along a straight road with linearly increasing acceleration then what is type of variation is exists between displacement and time?

If a particle moves along a straight road with linearly increasing acceleration then what is
type of variation is exists between displacement and time?

Grade:8

1 Answers

Ashish Kumar
askIITians Faculty 32 Points
10 years ago
If acceleration is linearly incresing then , a= kt, where k is constant and t is the time.
a=dv/dt= kt, integrate both sides then v=kt^2/2.
v=dx/dt =kt^2/2. Integrate and x=kt^3/6.
so x is directly proportional to t^3.

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