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Answer :
The time taken for the car to stop, given that the car moves a distance of 36.2 m while the brakes were applied is 5.93 s
How to determine the time taken for the car to stop?
The following parameters where obtained from the given question:
- Initial speed of car (u) = 12.2 m/s
- Final speed of car (v) = 0 m/s
- Distance traveled while the brakes where applied (s) = 36.2 m
- Time taken (t) =?
[tex]s = \frac{(u + v)t}{2} \\\\36.2 = \frac{(12.2 + v)t}{2}\\\\36.2 = \frac{12.2t}{2}\\\\Cross \ multiply\\\\12.2t = 36.2 \times 2\\\\12.2t = 72.4\\\\Divide \ both \ sides \ by \ 12.2\\\\t = \frac{72.4}{12.2} \\\\t = 5.93 \ s\\\\[/tex]
Thus, the time taken is 5.93 s
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