Jet plane takeoff question?

The mass of the plane is given i Newtons, so you need to divide by g to get the mass. Assume the plane starts from rest. Use Fres=ma to find the acceleration and then use V2^2=V1^2+2as

you know everything except s...

divide 2.75x10^6 N by 9.8N/kg (the acceleration of gravity near the earth's surface)

according to Newton's Second Law, a=F/m. So divide the thrust force by its mass to obtain the rate of acceleration.

(V2)^2 = (V1)^2+2a*d

we know the final speed (V2) and the initial speed (V1) is 0m/s. we just found the acceleration to me F/m, and found the mass.

rearrange to solve for d:

d=(V2)^2/2a

now substitue and solve.

We want "s" the length of the runway.

We know "v" the final speed.

We can calculate "a" the acceleration. (F=ma so a =F/m)

So I would pick v^2= u^2 + 2 * a * s

Note that the initial velocity " u" is zero.