Final answer:
The acceleration of the car is calculated by subtracting the initial velocity from the final velocity and dividing by the time taken. In this case, the car's acceleration is 1.67 m/s².
Step-by-step explanation:
To find the acceleration of the car, we use the formula for acceleration which is a = (v_f - v_i) / t, where a is acceleration, v_f is the final velocity, v_i is the initial velocity, and t is the time in seconds over which the change in velocity occurs. In this case, the car accelerates from an initial velocity (v_i) of 5 m/s to a final velocity (v_f) of 10 m/s in a time frame (t) of 3 seconds.
Using the given values, we calculate the acceleration as follows:
a = (v_f - v_i) / t = (10 m/s - 5 m/s) / 3 s = 5 m/s2 / 3 s = 1.67 m/s2
Thus, the acceleration of the car is 1.67 m/s2.