The braking distance traveled by the car is 73.5 m.
The braking distance traveled as the speed of the car is reduced from 21 m/s to 0m/s at a deceleration rate of 3 m/s² is calculated as follows.
v² = u² - 2as
where;
Substitute the given parameters and solve for the braking distance of the car as shown below.
0 = u² - 2as
2as = u²
s = (u²) / (2a)
s = (21²) / (2 x 3)
s = 73.5 m
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The complete question is below:
calculate the braking distance traveled as the speed of the car is reduced from 21 m/s to 0m/s, when the car is decelerating at 3 m/s².