Afighter aircraft is launched from the deck of an aircraft carrier with the of a steam catapult. if the aircraft is to attain a takeoff speed of at least 200 ft/sec after traveling 800 feet along the deck, find the minimum acceleration it must be subjected to, assuming it is constant.

Average speed after traveling 800ft: 120 feet/sec in = 6.67 seconds* If p(t) is the position function, that is, the jet is p(t) feet down the catapult path after t seconds, then: p'(t) is the instantaneous speed of the jet after t seconds. p''(t) is the acceleration of the jet, which we are given is constant. So: [i] p''(t) = c [ii] p'(t) = ct + k [iii] p(t) = ½ct² + kt + K for some constants c, k, and K. Since we know that the jet starts from a dead stop at the beginning of the catapult run, we know that k and K are zero. So, we have: [iii] 800 = ½ct² 1600 = ct² c = 1600/44.44444 c = 36 or [ii] 240 = c(6.67) + 0 c = 36

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