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16 February, 12:19

Emma hits a golf ball from the ground with an initial vertical velocity of 40 m/s. Which equation can be used to find the time, t, it takes for the ball to reach the ball to reach the ground?

a. - 16t2 + 40t = 0.

b. - 16t2 + 40 = 0.

c. - 4.9t2 + 40 = 0.

d. - 4.9t2 + 40t = 0.

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  1. 16 February, 12:26
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    option d: - 4.9t2 + 40t = 0

    Step-by-step explanation:

    This is a vertical movement with constant acceleration (which is the acceleratin of gravity: - 9.8 m/s2)

    The vertical position of the golf ball can be calculated with the equation:

    S = So + Vo*t + a * (t^2) / 2

    Where S is the final position, So is the inicial position, Vo is the inicial speed, a is the acceleration and t is the time.

    So, using So = 0, Vo = 40 and a = - 9.8, we have:

    S = 0 + 40t - 4.9t^2

    To find the time when the ball reaches the ground, we just need to make S = 0, so:

    - 4.9t^2 + 40t = 0

    The correct option is (d)
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