M gmail D H02 Begin Date: 8/22/2017 12:00:00 AM-Due Date:9/1/2017 110000 PM End

Question

M gmail D H02 Begin Date: 8/22/2017 12:00:00 AM-Due Date:9/1/2017 110000 PM End Date: 10/16/2017 1100.00 PM (8%) Problem 3: Starting fron rest, your plane taxis to the runway. At a time 5.5 min later, the plane is cleared for takeoff from rest and accelerates down the runway with a constant acceleration of a 2.7 m/'s2 for a time interval 48 before taking off. Refer to the figure. taxi Ctheexpertta.com 25% Part (a) Enter an expression for the plane's takeoff speed, y, in terms of given quantities Potential 96 Amempts reenaining S Cai per attempt) Submit Hint Hints:2a deduction per hint Hints remaining:

Explanation / Answer

before take off
time taken for take off ta = 48 s
acceleration, a= 2.7 m/s/s
a. Take off speed = Vt = u + at
   here t = ta
   u = 0
   so, Vt = a*ta
b. Take off speed = a*ta = 2.7*48 = 129.6 m/s
c. minimum runway length. dmin = ut + 0.5at^2
   u = 0
   so, d min = a*ta^2/2
d. let average acceleration be a'
   then Vt = a'(ta + to)
   a' = Vt/(ta + to) = a*ta/(ta + to)

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