Question

A particle moves in a straight libe and its position x at time t is given by x^2=2+ t.What is iys acceleration?

Answer 1

double differentiate the equation with respect to time !!
u ll get ur answer

Answer 2

The equation is

x^2=2+t

Differentiation of both sides
2x.dx/dt =0+1

as dx/dt =velocity

2x.v=1

or ....
v=1/2x
v=2x^-1

Again differentiation

dv/dt=2(-1)x^-2

as dv/dt=a

so acceleration=-2/x^2