Projectile motion without time or initial velocity

AI Thread Summary
To determine the velocity required to throw a snowball from a height of 11m at a 25-degree angle to hit a target 1.5m high and 37m away, two key equations are utilized: horizontal and vertical motion equations. The horizontal component of velocity (Vx) is calculated as v Cos(25), while the vertical component (Vy) is v Sin(25). The challenge lies in solving for the initial velocity without time or initial velocity provided. The snowball must cover both the horizontal distance and vertical drop simultaneously, leading to a system of equations that must be solved together. Understanding the relationship between these components is crucial for finding the required throw velocity.
entwistle 89
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Homework Statement


You throw a snowball from a height of 11m at an angle of 25 degrees to the horizontal to hit your teacher in the chest (1.5m from the ground) who is on the sidewalk 37m from you horizontally, at what velocity must you throw the snowball to hit your teacher


Homework Equations


d= v(t) + 1/2 a (t)^2


The Attempt at a Solution



Vx= v Cos(25)
Vy= v Sin(25)

I have no clue where to go from here to be completely honest
 
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hint: you have 2 equations in two variables
the snowball should travel the given horizontal distance and also the given vertical distance in the same time
 

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