An airplane flies eastward and always accelerates at a const

An airplane flies eastward and always accelerates at a constant rate. At one position along its path it has a velocity of 34.3 m/s, it then flies a further distance of 47300 m and afterwards its velocity is 47.5 m/s. Find the airplane\'s acceleration and calculate how much time elapses while the airplane covers those 47300 m. Acceleration: Elapsed time:

Solution

here,

initial speed , u = 34.3 m/s

final speed , v = 47.5 m/s

s = 47300 m

let the accelration be a

using third equation of motion

v^2 - u^2 = 2 * a * s

47.5^2 - 34.3^2 = 2 * a * 47300

solving for a

a = 0.011 m/s^2

let the time elapsed be t

v = u + a * t

47.5 = 34.3 + 0.011 * t

t = 1200 s