Question

Strange as it may seem, it is just as hard to accelerate a car on the moon as it is to accelearte the same car on earth. this is because

Answer 1

I believe the answer is: The mass of the car is independent of gravity

What could influenced by the gravity is the wright of the car (only to downward force) and many people misinterpret weight as mass.
Probably the most influental difference in acceleration fractions is only the traction on the moon surface and the earth surface.