Laws of MotionHard

Question

A particle is resting on a smooth horizontal floor. At t = 0 , a horizontal force starts acting on it. Magnitude of the force increases with time according to law F = α . t , where a is a constant. For the figure shown which of the following statements is/are correct ?

Options

A.Curve 1 shows acceleration against time
B.Curve 2 shows velocity against time
C.Curve 2 shows velocity against acceleration
D.none of these

Solution

F = at
a = t         ....(i)    straight line curve 1
dv = tdt
v = curve 2....(ii)
divide (ii) by 
v =         → Paacebole curve 2.

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