Final answer:
To calculate the force that accelerated the car, the car's acceleration was first determined using the change in velocity over time and then applied to Newton's second law of motion to find that the force is 2400 N.
Step-by-step explanation:
To calculate the force that accelerated the car, we can apply Newton's second law of motion: F = m × a, where F is the force, m is the mass, and a is the acceleration. Given that the mass of the car is 1200 kg and its speed increased from 5 m/s to 29 m/s in 12 s, we first need to calculate the acceleration using the formula a = (v_f - v_i) / t, where v_f is the final velocity, v_i is the initial velocity, and t is the time taken for the change.
Substituting the given values, we get a = (29 m/s - 5 m/s) / 12 s, which results in an acceleration of 2 m/s². Now, applying the acceleration value to Newton's second law, F = 1200 kg × 2 m/s², we find that the force that accelerated the car is 2400 N.