Question

An airplane needs to reach a forward velocity of 56.4 m/s to take off. On a 2000 meter runway, what is the minimum uniform acceleration necessary for the plane to take flight if it starts from rest? NEED WORK SHOWN!! 100 PTs

What is the displacement of the airplane?

What is the initial velocity of the airplane?

What is the final velocity of the airplane?

Write the equation you will use to solve the problem.

What was your acceleration?
1.0 m/s^2
0.95 m/s^2
0.87 m/s^2
0.80 m/s^2

Answer 1

Displacement of the airplane (s) = 2000 m

Initial velocity of the airplane (u) = 0 m/s (Starts from rest)

Final velocity of the airplane = 56.4 m/s

Equation used to solve the problem:

`\boxed{ \bf{ {v}^(2) = {u}^(2) + 2as}}`

By substituting values in the equation, we get:

`\rm \longrightarrow {56.4}^(2) = {0}^(2) + 2 * a * 2000 \\ \\ \rm \longrightarrow 3180.96 = 0 + 4000a \\ \\ \rm \longrightarrow 4000a = 3180.96 \\ \\ \rm \longrightarrow (4000a)/(4000) = (3180.96)/(4000) \\ \\ \rm \longrightarrow a = 0.80 \: m {s}^( - 2)`

`\therefore` Minimum uniform acceleration necessary for the plane to take flight (a) = 0.80 m/s²