Question: A car starts from rest and accelerates at a constant rate of 3 m/s^2 for a time of 10 seconds. Determine the final velocity of the car.
Answer: To find the final velocity of the car, we can use the kinematic equation:
v_f = v_i + at
Where: v_f = final velocity v_i = initial velocity (in this case, the car starts from rest so v_i = 0) a = acceleration (given as 3 m/s^2) t = time (given as 10 seconds)
Plugging in the given values, we get: v_f = 0 + (3 m/s^2)(10 s) v_f = 30 m/s
So, the final velocity of the car is 30 m/s.