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Thread: Kinematics/Vectors

  1. #1
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    Kinematics/Vectors

    Help please. The question is posted below. Thanks in advance.
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    The unit vectors $\displaystyle \bold{i}$ and $\displaystyle \bold{j}$ lie in a vertical plane, $\displaystyle \bold{i}$ being horizontal and $\displaystyle \bold{j}$ vertical. A ball of mass $\displaystyle 0.1 kg$ is hit by a bat which gives it an impulse of $\displaystyle (3.5 \bold{i} + 3 \bold{j}) Ns$. The velocity of the ball immediately after being hit is $\displaystyle (10 \bold{i} + 25 \bold{j}) ms^{-1}$.
    (a) Find the velocity of the ball immediately before it is hit.

    In the subsequent motion the ball is modelled as a particle moving freely under gravity. When it is hit the ball is $\displaystyle 1 m$ above horizontal ground.
    (b) Find the greatest height of the ball above the ground in the subsequent motion.

    The ball is caught when it is again $\displaystyle 1 m$ above the ground.
    (c) Find the distance from the point where the ball is hit to the point where it is caught.
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  2. #2
    Member Danshader's Avatar
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    the formula of impulse is:

    Ft = mv - mu
    where,
    Ft= impulse
    m = mass
    v=final velocity
    u = initial velocity
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