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26 August, 22:32

6. A car is approaching a hill at 30 m/s when its engine is stopped at the bottom of the hill. The car moves up the hill with an acceleration of - 2 m/s/s. Determine the maximum distance the car travels up the hill.

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  1. 26 August, 23:39
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    225 m.

    Explanation:

    Applying the equation of motion.

    v² = u²+2as ... Equation 1

    Where v = final velocity of the car, u = initial velocity of the car, a = acceleration of the car, s = distance traveled by the car.

    make s the subject if the equation.

    s = (v²-u²) / 2a ... Equation 2

    Given: v = 0 m/s, u = 30 m/s, a = - 2 m/s²

    Substitute into equation 2

    s = (0²-30²) / (-2*2)

    s = - 900/-4

    s = 225 m.

    Hence the maximum distance the car travels up the hill = 225 m.
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