Projectile motion without time or initial velocity

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SUMMARY

The discussion revolves around calculating the required initial velocity to throw a snowball from a height of 11 meters at a 25-degree angle to hit a target 37 meters away horizontally and 1.5 meters high. The key equations involved are the horizontal and vertical components of motion, represented as Vx = v Cos(25) and Vy = v Sin(25). The challenge lies in solving the two equations simultaneously to find the velocity needed for the snowball to reach the target accurately.

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  • Understanding of projectile motion principles
  • Familiarity with trigonometric functions (sine and cosine)
  • Knowledge of kinematic equations
  • Ability to solve systems of equations
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  • Explore the concept of simultaneous equations in physics
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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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