Final answer:
Using Newton's second law of motion, we calculated the car's acceleration as 3.25 m/s² given the horizontal force from the engine and the car's mass. With no friction, after 8 seconds, the car's velocity is determined to be 26.0 m/s.
Step-by-step explanation:
The question falls under the subject of Physics and is suited for a High School level student. It pertains to Newton's second law of motion, which can be expressed as F = ma, where F is the force applied to an object, m is the mass of the object, and a is the acceleration of the object. Since the car starts from rest and there is no friction, the only force acting on it is the horizontal force provided by the engine.
To find the car's velocity after 8 seconds, we can first calculate the acceleration of the car using the formula a = F/m. Substituting the given values, a = 4691 N / 1442 kg, which results in an acceleration of 3.25 m/s². Using the formula for velocity with constant acceleration, which is v = at, and substituting the calculated acceleration and time (8 s), we get v = 3.25 m/s² × 8 s which equals 26.0 m/s. Therefore, the car's velocity after 8 seconds, starting from rest and assuming no friction, is 26.0 m/s.