Minimum initial velocity of the projectile launched at what angle

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SUMMARY

The discussion centers on calculating the minimum initial velocity and launch angle required for a projectile to clear a wall located 100 meters away and 55 meters high. The relevant equation used is h=(v^2sin^2α)/2g, where h is the height, v is the initial velocity, α is the launch angle, and g is the acceleration due to gravity. Participants emphasize the necessity of deriving two equations to solve for the two unknowns: velocity and angle, suggesting the use of energy considerations and projectile kinematics for this purpose.

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vneff
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Homework Statement


Assume there is a wall located 100m downrange (x=100) from the projectile launching position (x=0) that is 55m (y=55) high. What is the minimum initial velocity of the projectile launched at what angle necessary to clear the wall?


Homework Equations


h=(v^2sin^2α)/2g


The Attempt at a Solution


I can find the displacement but I'm confused as to how I am supposed to find both velocity and the projectile angle from this information.
 
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vneff said:

Homework Statement


Assume there is a wall located 100m downrange (x=100) from the projectile launching position (x=0) that is 55m (y=55) high. What is the minimum initial velocity of the projectile launched at what angle necessary to clear the wall?


Homework Equations


h=(v^2sin^2α)/2g


The Attempt at a Solution


I can find the displacement but I'm confused as to how I am supposed to find both velocity and the projectile angle from this information.

2 unknowns, angle and velocity.
Then you have find 2 equations to solve the problem.
 
vneff said:

Homework Statement


Assume there is a wall located 100m downrange (x=100) from the projectile launching position (x=0) that is 55m (y=55) high. What is the minimum initial velocity of the projectile launched at what angle necessary to clear the wall?


Homework Equations


h=(v^2sin^2α)/2g


The Attempt at a Solution


I can find the displacement but I'm confused as to how I am supposed to find both velocity and the projectile angle from this information.
Do exactly what azizlwl said. You have two unknowns, so you need two equations to get a solution. You could find one of those equations by considering energy and the other by using projectile kinematics.
 

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