Question

The minimum takeoff speed for a certain airplane is 50 m/s. What minimum acceleration is required if the plane must leave a runway of length 2000 m? assume the plane starts from rest at one end of the runway.

Answer 1

Assuming constant acceleration, the requisite magnitude is
`a` such that

`\left(50(\rm m)/(\rm s)\right)^2 - 0^2 = 2a (2000\,\mathrm m)`

Solve for
`a` :

`a = (\left(50(\rm m)/(\rm s)\right)^2)/(4000\,\mathrm m) = \boxed{0.625 (\rm m)/(\mathrm s^2)}`