Question

"a drag racing car starts from rest at t= 0 and moves along astraight line with velocity given by V = bt^2 where b isconstant. The expression for the distance traveled by this car from its position at t = 0 is
a)bt^3
b)bt^3/3

Answer 1

dx/dt = b t^2
so
x = (1/3) b t^3 + starting x