How High Does a Cannonball Go When Fired Straight Up at 28m/s?

[mayhemlikeme]

Homework Statement

a cannon is fired out of a cannon at a velocity of 28m/s and at an angle of 90°. Straight up. Assume it starts at a height of 0, figure out the max height it will reach. Air resistance is ignored.

Homework Equations

The Attempt at a Solution

I'm not 100% on this but I think with conservation you can use the equation: mgh= 1/2mv^2
I just need help setting it up I'm usually pretty good working it out. Thanks in advance.

 

[Dick]

Homework Statement

a cannon is fired out of a cannon at a velocity of 28m/s and at an angle of 90°. Straight up. Assume it starts at a height of 0, figure out the max height it will reach. Air resistance is ignored.

Homework Equations

The Attempt at a Solution

I'm not 100% on this but I think with conservation you can use the equation: mgh= 1/2mv^2
I just need help setting it up I'm usually pretty good working it out. Thanks in advance.

You've already set it up correctly. Cancel the m and solve for h.

 

[mayhemlikeme]

You've already set it up correctly. Cancel the m and solve for h.

How do you set it up without knowing mass?

 

[Dick]

How do you set it up without knowing mass?

Put the mass equal to 1kg. Solve it. Put the mass equal to 2kg. Solve it. You'll get the same answer. The mass doesn't matter. It cancels.