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27 January, 09:14

A rocket sled accelerates at 21.5 m/s^2 for 8.75 s. (a) What's its velocity at the end of that time? (b) How far has it traveled?

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  1. 27 January, 09:34
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    (a) vf = 188.12m/s : Final speed at 8.75 s

    (b) d = 823.04 m : Distance the rocket sled traveled

    Explanation:

    Rocket sled kinematics : The rocket sled moves with a uniformly accelerated movement, then we apply the following formulas:

    d = vi*t+1/2a*t² Formula (1)

    vf = vi+at Formula (2)

    Where:

    vi: initial speed = 0

    a: acceleration=21.5 m/s²

    t: time=8.75 s

    vf: final speed in m/s

    d:displacement in meters (m)

    Calculation of displacement (d) and final speed (vf)

    We replace data in formulas (1) and (2):

    d = 0+1/2*21.5*8.75²

    d = 823.04 m

    vf = 0+21.5*8.75

    vf = 188.12m/s
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