# Kinematics using integration

1. Jul 15, 2011

### biamin

1. The problem statement, all variables and given/known data

If an Airplane is to attain a take off velocity of 75 m/s after traveling 240 m along the flight deck of an aircraft carrier. Find the Aircrafts acceleration(asssumed constant)

2. Relevant equations

S=∫vdt

V=75 m/s
S=240m
t(time)=0
3. The attempt at a solution

S=∫75dt
= 75t + C
240 = 75t + C
240 = 75(0) + C
C = 240
S=75t + 240
V=∫75t+240dt
V=75t^2/2 + 240t

Not sure what to do next or if I am even on the right track.
thanks for any help

2. Jul 15, 2011

### SteamKing

Staff Emeritus
Look at the problem this way: When t = 0, s = v = 0
The plane then undergoes a constant acceleration a

At time t = t2, the plane has velocity v = 75 m/s and has traveled s = 240 m

Notice that the plane's velocity is not constant.

Can you come up with a better set of equations than in the OP?

3. Jul 15, 2011

### biamin

Thanks for the nudge. This is the part I struggle with I guess I haven't learned the kinematic relationships very well.

So, if velocity isn't constant then it has to be dependent on the time & displacement.

Would a better equation be s = ∫240t?

4. Jul 16, 2011

### SteamKing

Staff Emeritus
You're just guessing now.