What minimum constant acceleration does this require if the aircraft is to be airborne after a takeoff run of 221 m?

Question

An aircraft has a liftoff speed of 37 m/s. What minimum constant acceleration does this require if the aircraft is to be airborne after a takeoff run of 221 m?

Answer 1

Use the kinematic relation

 

v_f² - v_i² = 2ax

 

v_i = 0

v_f = 37 m/s

x = 221 m

 

a = (v_f² - v_i²)/(2x) = 37²/[2(221)] m/s ≅ 3.1 m/s²