See examples from life showing that the greater the applied force, the greater the acceleration imparted by this force.

For example, there are two cars weighing approximately the same (the difference is in the range of 50-100 kg per 2 tons of mass of each), but equipped with engines of different power. A car with a higher engine power has more traction than a car with a less powerful engine. Consequently, the first car will accelerate to 100 km / h faster (with greater acceleration) than the second. The motor develops more traction force, therefore the acceleration of the car is greater.