An airplane flies eastward and accelerates uniformly . At one position along its

Question

An airplane flies eastward and accelerates uniformly . At one position along its path it has a velocity of 31.7m/s. It then flies a further distance of 46.5km and it's velocity is 45.1 m/s. Find the airplane's accerlation and calculate how much time elapses while the airplane covers those 46.5km. An airplane flies eastward and accelerates uniformly . At one position along its path it has a velocity of 31.7m/s. It then flies a further distance of 46.5km and it's velocity is 45.1 m/s. Find the airplane's accerlation and calculate how much time elapses while the airplane covers those 46.5km. An airplane flies eastward and accelerates uniformly . At one position along its path it has a velocity of 31.7m/s. It then flies a further distance of 46.5km and it's velocity is 45.1 m/s. Find the airplane's accerlation and calculate how much time elapses while the airplane covers those 46.5km.

Explanation / Answer

According to the given problem,

a) Using kinamatics,

v2 - u2 = 2aS

where v = final velocity = 45.1 m/s, u = initial velocity = 31.7 m/s. S = distace = 46.5m and a = accelration

a = 45.12 - 31.72/[2*46.5*103]

a = 0.011 m/s

b) Similary using kinamatic equation,

v = u + at

t = v - u/a

t = 45.1 - 31.7/0.011

t = 1210.9375 s

t = 20.2 min.

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