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3 March, 05:54

1. When a cannonball is fired, the equation of its pathway can be modeled by h = - 1612 + 128t.

a) Find the maximum height of the cannonball.

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  1. 3 March, 06:42
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    The maximum height of the ball is 256m

    Step-by-step explanation:

    Given the equation of a pathway modelled as pathway can be modeled by h = - 16t² + 128t

    At maximum height, the velocity of the ball is zero.

    velocity = dh/dt

    velocity = - 32t + 128

    Since v = 0 at maximum height

    0 = - 32t+128

    32t = 128

    t = 128/32

    t = 4seconds

    The maximum height can be gotten by substituting t = 4 into the modelled equation.

    h = - 16t² + 128t

    h = - 16 (4) ²+128 (4)

    h = - 16 (16) + 512

    h = - 256+512

    h = 256m
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