$(10$ pts$.)$ An object at rest is moved slightly from a position of unstable equilibrium. Its velocity increases according to the formula:

$V(x)=A\sqrt[\phantom{2}]{x},(Displacementin$ meters, time $in$ seconds$)$

where x is the distance traveled from the starting point, and A is a constant. Find an expression for the time it takes the object to travel a distance $L.$