A race car is on a straight track. The race car accelerates from rest, covering 100 m in 5 seconds. What is the acceleration of the race car in m/s^2?
V = 100m/5s = 20 m/s..
a = (V-Vo)/t = (20-0)/5 = 4 m/s^2.
To find the acceleration of the race car, we can use the formula:
acceleration (a) = (final velocity - initial velocity) / time
Given that the race car starts from rest, its initial velocity (u) is 0 m/s. The race car covers a distance (s) of 100 m in a time (t) of 5 seconds.
Now, we need to calculate the final velocity (v).
To find the final velocity, we can use the formula:
distance (s) = (initial velocity (u) × time (t)) + (0.5 × acceleration (a) × time (t)^2)
Plugging in the given values:
100 m = (0 m/s × 5 s) + (0.5 × a × (5 s)^2)
Simplifying:
100 m = 0 m + 12.5 a
Now, we can solve for acceleration (a):
12.5 a = 100 m
Dividing both sides by 12.5:
a = 100 m / 12.5
a = 8 m/s^2
Therefore, the acceleration of the race car is 8 m/s^2.