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19 April, 04:40

An object starts at rest then accelerates at a rate of 5m/s^2 for 1 second and then 2m/s^2 for 2 seconds. What is the average acceleration over time (t€[0,3]

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  1. 19 April, 08:24
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    Acceleration = (change in speed) / (time for the change)

    - - during the first second, the object increases its speed to

    (5 m/s²) · (1 s) = 5 m/s.

    - - During the next 2 seconds, the object increases its speed by

    (2 m/s²) · (s) = 4 m/s

    So at the end of the whole 3 seconds, its speed is (5 m/s) + (4 m/s) = 9 m/s

    - - Over the whole time, its speed has changed from zero to 9 m/s.

    Acceleration = (change in speed) / (time for the change)

    Acceleration = (9 m/s) / (3 sec)

    Acceleration = 3 m/s²
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