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Suppose particular plane needs to attain speed of k feet per second In order to take off: The plane can attaln that speed in 30 seconds Assume acceleration Is constant; v(o) = 0, and s(0) when answering the questlons below. Use lower case k. (a) Flnd formulas for acceleration_ velocity, and position of the plane_ Your answers will have k In It: a(t) Select-= v(t) Select s(t) Selec (D) If the plane accelerates to feet per second in 30 seconds how far will it travel In that time? Your answer will have k In It. feet (c) If a runway Is 3450 feet long and the plane uses the entire runway to take off, what Is the value of k?

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tutorconsortium644

formulas for acceleration, velocity and position of plane are

k²=2as, k=30a, s=450a and the value of k is 230 ft/sec

what is velocity?

rate of changes of distances with respect to time.

what is acceleration?

rate of changes of velocity with respect to time.

Given, final velocity, v= k ft/s

time needed to attain speed k is 30 s

time, t= 30 sec

acceleration, a = constant

initially at time t=o, velocity and distance travel by aircraft was also o

initial velocity u =0, distance s = 0

as per the formula regarding velocity, distance, time and acceleration

v² = u²+2as

as per the question final velocity v= k, initial velocity u=0

k² = 2as

again, the formula v= u+at

the velocity of v after 30 second

 k= a×30

acceleration, a= k/30

from the other formula, s=ut+1/2×at²

distance travel by aircraft after 30 second with initial velocity 0.

s= u×0+1/2×a(30) ²

s= 450a

previously we got a=k/30

now, s =450×k/30= 15k

if the runway is 3450 feet long and the plane needs to use the entire runway to take off then the value of k will be

s=15k

k=230 ft/sec

hence, the value of k is 230 ft/sec

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