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.

Expert's answer

"\\vec F = m \\vec a"

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

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

"v_1 = v_0 -at"

"v_1 = 0"

"t = \\frac{v_0}{a}= \\frac{30}{0.44}\\approx68.18 s"

"\\text{Answer: } 68.18 s"

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