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16 June, 16:34

An automobile engineer found that the impact of a truck colliding at 14 km/h with a concrete pillar caused the bumper to indent only 6.2 cm. The truck stopped. Determine the acceleration of the truck during the collision.

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  1. 16 June, 19:00
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    Hello

    Here we must use the equation of motion

    v^2 = u^2 + 2as; where v is final velocity, u is initial velocity, a is the acceleratoin and is the distance travelled.

    We select this one because the time of collision is unknown to us.

    We know the truck stopped so its final velocity is 0; thus v = 0.

    Converting the initial velocity to SI units, we get 3.89 m/s.

    The distance traveled, s, is 0.062 meters.

    Inserting all of these values into the equation,

    0 = (3.89) ^2 + 2 (a) (0.062)

    and solving for a, we get a to be

    -122.0 ms^ (-2)

    The negative sign indicates the acceleration is in the opposite direction to the initial motion, which means the truck decelerated. This is consistent with the given condition.
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