The drag force acting on a car travelling at a speed v is given by the equation F=kAv^2

Question

Where A is the area of the front of the car.
Show that a suitable unit for the quantity k is kgm-3.
Mark scheme answer:
F= kgms-2
or
A=m2
V=ms-1

Which is K=kgm-3

I am confused could someone show the working out clearly involving all steps and equations used.
Please help.

Answer 1

F = mass * acceleration

so
kg m/s^2 or Newtons = Force units

kg m/s^2 = kunits * m^2 *m^2/s^2
or
k units = kg /m^3

Answer 2

Which exam paper is this question from?