Minimum initial velocity of the projectile launched at what angle

  • Thread starter vneff
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  • #1
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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.
 

Answers and Replies

  • #2
1,065
10

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.
 
  • #3
CAF123
Gold Member
2,933
88

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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