Question

The acceleration of a particle is given by the a = x
where x is a constant. If the particle starts at origin
from rest, its distance from origin after time tis
given by​

Answer 1

Answer:

$e^{t}$

Explanation

$a = v\frac{dv}{dx}  = x\\\\\int vdv = \int\ xdx\\Solving, \\v = x = \frac{dx}{dt} \\Solve, \\t = ln x\\x=e^{t}$