3. A model rocket is launched straight upward at 58.8 m/s. a. How long does it take for the rocket to reach its peak height?

Question

3. A model rocket is launched straight upward at 58.8 m/s.
a. How long does it take for the rocket to reach its peak height?

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Orla Orla 4 years 2021-07-21T12:18:35+00:00 1 Answers 51 views 0

Answers ( )

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    2021-07-21T12:20:22+00:00

    Let us assume that rocket only runs in initial energy and not using its own to flying.

    Also , let upward direction is +ve and downward direction is -ve .

    Initial velocity , u = 58.8 m/s .

    Acceleration due to gravity , g=-9.8\ m/s^2 .

    Final velocity , v – = 0 m/s .

    We know , by equation of motion .

    v^2-u^2=2gh\\\\2gh_{max}=0^2-58.8^2\\\\h_{max}=\dfrac{0^2-58.8^2}{-2\times 9.8}\\\\h_{max}=	176.4\ m

    Hence, this is the required solution .

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