To find the average velocity of the car, we divide the total displacement by the total time taken. The average velocity formula is:
Average velocity = Total displacement / Total time
In this case, the car travels a total distance of 560 meters in 8 seconds. Therefore:
Average velocity = 560 meters / 8 seconds Average velocity = 70 meters per second
So, the average velocity of the car is 70 m/s.
To find the final velocity of the car, we need to use the kinematic equation that relates initial velocity (u), final velocity (v), acceleration (a), and time (t):
v = u + at
Since the car starts from rest (u = 0) and has constant acceleration, we can rearrange the equation to solve for the final velocity:
v = u + at v = 0 + a * t v = a * t
Given that the car travels for 8 seconds, we need to determine the acceleration first. We can use the equation that relates displacement (s), initial velocity (u), final velocity (v), and acceleration (a):
s = ut + (1/2) * a * t^2
Plugging in the values we have:
560 = 0 * 8 + (1/2) * a * (8^2) 560 = 32a a = 560 / 32 a ≈ 17.5 m/s^2
Now, we can find the final velocity using the equation v = a * t:
v = a * t v = 17.5 * 8 v = 140 m/s
Therefore, the final velocity of the car is 140 m/s.