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    Motion with constant acceleration

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    A rocket is modeled by a particle that moves along a vertical line. From launch, the rocket rises until its motor cuts out after 14s.
    At this time it has reached a height of 480m above the launch pad and attained an upward velocity of 70m/s

    From this time on, the rocket has constant acceleration -10m/s^2

    Choose the s-axis (the position of the rocket) to point upwards with origin at the launch pad. take t=0 to be the time when the rocket motor cuts out.

    a. What is the maximum height (above the launch pad) reached by the rocket.
    b. How long (from launch) does the rocket take to reach this maximum height?
    c. How long aftre launch does teh rocket crash onto th launch pad?

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