The distance x covered by a paritcle in one dimensional motion varies with time t as x 2 = a t 2 + 2 b t + c…

The distance x covered by a paritcle in one dimensional motion varies with time t as x2=at2+2bt+c . If the acceleration of the particle depends on x as x-n , where n is an integer, the value of n is _________

Solution

x2=at2+2bt+c
2xv=2at+2b
xv=at+b
v2+ax=a
ax=a-at+bx2
a=aat2+2bt+c-at+b2x3
a=ac-2x3
a α x-3

Asked in: JEE Main 2020 (09 Jan Shift 1)

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