An aircraft has a liftoff speed of 33 m/s. What minimum constant acceleration does this require if the aircraft is to be airborne after a take-off run of 240 m

2.27 m/s²

Explanation:

Recall that one of the equations of motion can be expressed as

v² = u² + 2as

where

v = final velocity = takeoff speed = 33m/s

u = initial velocity = rest = 0 m/s

a = acceleration ( we are asked to find this)

s = distance traveled = length of takeoff run = 240m

substituting the known values into the equation above,

v² = u² + 2as

33² = 0² + 2a(240)

1089= 480a

a = 1089/480

a = 2.27 m/s²