Help with problem, only given maximum height and range

AI Thread Summary
To solve the problem of determining the launch angle and speed of a rocket that reaches a height of 72.3 meters and a maximum range of 111 meters, one can use projectile motion equations. The maximum height can be calculated using the formula h = (v^2 * sin^2(θ)) / (2 * g), while the range can be determined with R = (v^2 * sin(2θ)) / g. By combining these equations, it is possible to derive the launch angle and speed. Participants in the discussion encourage sharing any attempted methods or relevant equations to facilitate problem-solving. Engaging with the equations of motion is crucial for finding the solution.
darealprince
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Hello i need help with this problem where i am only given the maximum height and range. The problem is that a rocket reaches a height of 72.3 meters and had a maximum range of 111 meters. What is the launch angle? and what is the launch speed?
Does anybody know how to solve it
 
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Welcome to PF!

darealprince said:
Hello i need help with this problem where i am only given the maximum height and range. The problem is that a rocket reaches a height of 72.3 meters and had a maximum range of 111 meters. What is the launch angle? and what is the launch speed?
Does anybody know how to solve it

Hi darealprince! Welcome to PF! :smile:

What have you tried? what equations do you know that might help? :smile:
 

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