Question #349556

A car and driver, with a total mass of 1350kg, moving at 30m/s on a horizontal road when the driver sees roadworks ahead. She brakes, decelerating with a constant force of 600N until arriving at the roadworks. Find the time elapsed before arriving at the roadworks.


1
Expert's answer
2022-06-09T18:22:18-0400

F=ma\vec F = m \vec a

a=Fm=60013500.44\vec a =\frac{\vec F} {m} = \frac{600} {1350}\approx 0.44

the car slows down consequently\text{the car slows down consequently}

v1=v0atv_1 = v_0 -at

v1=0v_1 = 0

t=v0a=300.4468.18st = \frac{v_0}{a}= \frac{30}{0.44}\approx68.18 s


Answer: 68.18s\text{Answer: } 68.18 s


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