What Are the Equations for Projectile Motion?

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To solve the projectile motion problem involving a firefighter directing water at a burning building, the key equations include the horizontal and vertical motion formulas. The horizontal distance can be calculated using the equation x = v * cos(θ) * t, while the vertical height is determined by y = v * sin(θ) * t - (1/2)gt². The time of flight can be found by rearranging the horizontal distance equation. The discussion highlights the need for proper instructional materials to understand these concepts fully. Understanding these equations is essential for accurately determining the height at which the water stream will strike the building.
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Homework Statement



A firefighter, 50.0 m away from a burning building, directs a stream of water from a fire hose at an angle of 40.0° above the horizontal, as in figure. If the speed of the stream is 30.0 m/s, at what height will the stream of water strike the building?


Homework Equations





The Attempt at a Solution


Im really not sure how to answer the problem. I know that you are supposed to integrate the height into equation. But our teacher didn't appropriately give us the needed materials.
 
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Hi weikari, welcome to PF.

Try to find out the relevant equations for a projectile motion.
 

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