Projectile Motion: Firing to Reach Target at Diff. Height

[Bob123456]

Homework Statement

Hello, I need to solve a problem which involves a projectile being fired at a target that is at a different height. Given a firing angle, the distance the projectile needs to needs to travel and gravity, i need to compute the flight time and initial velocity needed to reach the target. I don't have and specific problem with specific numbers to work with but I can just toss out an example.

A projectile is being fired at 45 degrees, at a target 2000 meters away and 500 meters off of the ground.

Homework Equations

The Attempt at a Solution

The difference in height is completely throwing me off.

 

[whitewolfw2]

See pic below. I'm still a school student, and this may or may not be right. But remember that the vertical and horizontal components of the velocity are the same value in this case, because of exact trig values.

http://www.freeimagehosting.net/uploads/th.1ea980badd.jpg