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    ​The area under the velocity-time curve between times t1 and t2 is equal to the&
    Question

    The area under the velocity-time curve between times t1 and t2 is equal to the ___ of the object during that interval of time.\text{The area under the velocity-time curve between times } t_1 \text{ and } t_2 \text{ is equal to the } \_\_\_ \text{ of the object during that interval of time.}​​

    A.

    acceleration

    B.

    average velocity

    C.

    force

    D.

    magnitude of displacement

    Correct option is D

    The area under a velocity-time (v-t) graph represents the displacement of an object.Displacement is calculated as:Displacement=t1t2v dtIf velocity is always positive, the area gives the total displacement.If velocity changes direction, the net displacement (difference between forward and backward motion) is obtained.\bullet \text{The } \textbf{area under a velocity-time (v-t) graph} \text{ represents the } \textbf{displacement} \text{ of an object.}\\\bullet \text{Displacement is calculated as:}\\\text{Displacement} = \int_{t_1}^{t_2} v \, dt\\\bullet \text{If velocity is always positive, the area gives the total displacement.}\\\bullet \text{If velocity changes direction, the } \textbf{net displacement} \text{ (difference between forward and backward motion) is obtained.}​​

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