Physics

Question

A dart player throws a dart horizontally at a velocity of 12.7 m/s. The
dart hits the board 0.39 m below the height from which it was thrown.
How far away is the player from the board? Provide evidence.

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  • Answer:

    Answer

    Explanation:

    It is given that,

    The horizontal speed of a dart player =

    12.4 m/s

    The dart hits the board 0.32 m below the

    height from which it was thrown.

    We need to find how long it take the dart

    to hit the board.

    Let the time taken by the dart to hit the

    board. Using second equation of motion

    to find it.

    1

    y = ut +

    2

    =

    at2

    Put u = 0 and a=-g

    -

    -1

    y =

    1942

    1

    -0.32

    =

    x 9.8t2

    2

    2 x 0.32-0.32

    =

    t=

    9.8

    t= 0.255 s

    Let x be the horizontal distance travelled.

    It is calculated as follows:

    X =

    12.4 x 0.255

    =

    = 3.16 m

    So, the dart will hit the board at a

    distance of 3.16 m.

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