JEE Main20209 Jan 2020Morning ShiftPhysicsMotion in One DimensionActual
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 . If the acceleration of the particle depends on x as x - n , where n is an integer, the value of n is _________
Correct answer
0
Step-by-step solution
x 2 = a t 2 + 2 b t + c 2 x v = 2 a t + 2 b x v = a t + b v 2 + a x = a a x = a - a t + b x 2 a = a a t 2 + 2 b t + c - a t + b 2 x 3 a = a c - 2 x 3 a   α   x - 3