Projectile Motion: Firing to Reach Target at Diff. Height

AI Thread Summary
To solve the problem of a projectile fired at a target at a different height, one must consider the firing angle, distance, and gravitational effects. The projectile's flight time and initial velocity can be calculated using kinematic equations, taking into account the vertical and horizontal components of motion. The challenge arises from the height difference, which complicates the trajectory calculations. A common example involves firing at a 45-degree angle to a target 2000 meters away and 500 meters high. Understanding the relationship between the components of velocity and the impact of gravity is essential for accurate calculations.
Bob123456
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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.
 
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