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24 February, 04:42

A driver has a reaction time of 0.50s, and the maximum deceleration of her car is 6.0m/s2. She is driving at 20m/s when suddenly she sees an obstacle in the road 50m in front of her.

Can she stop the car in time to avoid the collision?

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  1. 24 February, 07:39
    0
    given,

    reaction time. t_r = 0.50 s

    deceleration of the car = 6 m/s²

    initial speed, v = 20 m/s

    distance at which the car stop = ?

    distance travel by the car in reaction time

    d = v x t_r

    d = 20 x 0.5 = 10 m

    using equation of motion

    distance travel to stop the car

    v² = u² + 2 a s

    0² = 20² - 2 x 6 x s

    12 s = 400

    s = 33.33 m

    Total distance travel by the car

    D = 10 + 33.33

    D = 43.33 m

    Hence, the car stops before to avoid collision.
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