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15 January, 18:52

The height of a fireworks rocket launched from a platform can be approximated by h=-5t + 30t + 35, where h is the height in meters and t is the time in seconds. Find the time it takes the rocket to reach the ground after it is launched.

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  1. 15 January, 19:06
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    Step-by-step explanation:

    h=-5t + 30t + 35, where h is the height in meters and t is the time in seconds.

    Considering the fact that the launched Rocket will hit the ground, it implies that the height will be zero. Hence the equation will be.

    0 = -5t + 30t + 35

    -5t+30t = - 35

    25t = - 35

    To find t, divide both sides by 25

    25t/25 = - 35/25

    t = - 7/5

    t = - 1.4secs

    Hence the time for the launched rocket to hit the ground will be - 1.4secs
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