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30 June, 17:18

A cannon ball shoots out from a cannon that is 28 inches long at 2700 ft s. What is the

acceleration and its time outside the cannon.

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Answers (1)
  1. 30 June, 21:11
    0
    a = 1565217.39 ft / s ^ 2

    t = 0.001725 seconds

    Step-by-step explanation:

    The first thing is to use the same system of units therefore we will pass the 28 inches to feet, like this:

    28 in * (1 ft / 12 in) = 2.33 ft

    Now yes, we can continue, we have the following dа ta:

    vi = 0

    vf = 2700 ft / s

    the equations in this case are as follows:

    vf = vi + a * t

    vf = a * t

    rearranging for a

    a = vf / t (1)

    now with the position equation we know that:

    x = vi * t + (a * t ^ 2) / 2

    x = (a * t ^ 2) / 2 (2)

    now replacing (1) in (2), we are left with:

    x = (vf / t) * (t ^ 2) / 2

    knowing that x would be 2.33 ft, which is when the cannonball exits the cannon.

    2.33 = 2700 * t / 2

    t = 2.33 * 2/2700 = 0.001725 seconds.

    and now replace in (1)

    a = vf / t = 2700 / 0.001725 = 1565217.39 ft / s ^ 2
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