Question

Choose the best equation below to solve this kinematics question:

An aircraft has to have a final velocity of 33 m/s at the end of a runway to be able to liftoff. What acceleration rate would the plane need if it starts from rest and has a runway 240 m long?

A) vf = vi +atvf = vi +at

B) d =12 (vi +vf)t d =12 (vi +vf)t

C) d = vit + 12at2d = vit + 12at2

D) (vf)2 = (vi)2 +2ad

Answer 1

(D) Vf² = Vi² + 2ad

a = 2.269 m/s²

Step-by-step explanation:

Given;

final velocity of the aircraft, Vf = 33 m/s

initial velocity of the aircraft, Vi = 0

distance traveled by the plane, d = 240 m

The acceleration of the plane is given by the following kinematic equation;

Vf² = Vi² + 2ad

where;

a is the acceleration;

Based on the given options, the correct option is "D".

Calculating the acceleration with the chosen equation;

Vf² = Vi² + 2ad

Vf² = 0+ 2ad

Vf² = 2ad

a = Vf² / 2d

a = (33)² / (2 x 240)

a = 2.269 m/s²