# 2d projectile motion question

1. Jul 15, 2009

### alex2256

1. The problem statement, all variables and given/known data
OK, I'm posting to clarify if my answer is correct.

1. An airplane is flying with a velocity of 90.0 m/s at an angle of 23.0m\s above the horizontal. When the plane is a distance 115 m directly above an observer that is standing on level ground, a suitcase drops out of the luggage compartment. How far from the observer will the suitcase land? You can ignore air resistance.

2. Relevant equations
y = ut + 1/2at^2
x = ut

3. The attempt at a solution
OK, I divided the x and y components into a table, then solved for time and got 4.845 seconds. I then plugged it into x = ut and got 436.05m, then constructed a triangle and did the Pythagorean Theorem and got 450.9m

Could someone please check this for me, since I don't have the answers to the question?

Thanks.

2. Jul 15, 2009

### rl.bhat

To find time of flight t, use
y = - u*sinθ*t + 1/2*g*t^2.
- u*sinθ is the vertical component of the velocity of projection.
Then the range = u*cosθ*t