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24 October, 01:52

A velocity vs. time graph is shown. A graph titled Velocity versus Time shows time in seconds on the x axis, numbered 0 to 5, velocity in meters per second on the y axis, numbered 0 to 20. A line starts at the origin and ends at (5, 20). What is the acceleration of the object? 0 m/s2 0.25 m/s2 4 m/s2 8 m/s2

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  1. 24 October, 02:10
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    C

    Explanation:

    Given that a line starts at the origin (0, 0) and ends at (5, 20)

    Where

    V1 = 0

    V2 = 20

    T1 = 0

    T2 = 5

    The slope or gradient of a velocity time graph is the acceleration.

    Slope = change in V / change in t

    That is,

    Slope = (V2 - V1) / (T2 - T1)

    Substitutes all the values into the formula

    Slope = (20 - 0) / (5 - 0)

    Slope = 20/5

    Slope = 4 m/s^2

    Therefore, acceleration of the object is 4m/s^2
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