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: . .
Then the position function is: .
. . where is the plane's initial position.
Assume that , we have: . .
We are told that when
Substitute into : .
Substitute into :