Hello, BAHADEEN!

An airplane takes off after it travelled adistance of 1350 m on the runway.

The airplane started from rest, moved with a constant acceleration

for 30 seconds before taking off.

What was the speed at the time of take-off?

Let be the constant acceleration (in )

Then the velocity is: .

. . where is the plane's initial velocity.

The plane started from rest, so

. . The velocity function is: . .[1]

Then the position function is: .

. . where is the plane's initial position.

Assume that , we have: . .[2]

We are told that when

Substitute into [2]: .

Substitute into [1]:

. .