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1 September, 23:35

A snowmobile travels in a straight line. The snowmobileâs initial velocity is + 3.0 m/s.

a. If the snowmobile accelerates at a rate of + 0.50 m/s² for 7.0 s, what is its final velocity?

b. If the snowmobile accelerates at the rate of â0.60 m/s² from its initial velocity of + 3.0 m/s,

how long will it take to reach a complete stop?

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  1. 1 September, 23:36
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    a) 6.6m/s² b) 0.5s

    Explanation:

    Acceleration is the rate of change in velocity. Mathematically,

    Acceleration = change in velocity/time

    Acceleration = final velocity - initial velocity / time

    Given acceleration = 0.50m/s²

    Final velocity = ?

    Initial velocity = 3.0m/s

    Time = 7.0s

    Substituting the values in the formula we have,

    0.50 = final velocity-3/7

    Final velocity - 3 = 0.5*7

    Final velocity - 3 = 3.5

    Final velocity = 3.5+3

    Final velocity = 6.5m/s

    b) Similarly, acceleration = final velocity-initial velocity/time

    Acceleration = 6.0m/s²

    Initial velocity = 0m/s

    Final velocity = 3.0m/s

    Time = ?

    Substituting into the formula

    6 = 3.0 - 0/time

    6*time = 3.0

    time = 3/6

    Time = 0.5s

    Therefore it will take the snowmobile 0.5s to reach a complete stop.
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