Hang time, range, maximum height

[itsmarasilly]

Homework Statement

Find the ball's hang time, range, and maximum height.
A player kicks a football from ground level with an initial velocity of 27.0 m/s, 60.0° above the horizontal. Find the ball's hang time, range, and maximum height. Assume air resistance is negligible.

Homework Equations

Range = Initial Velocity ^ 2 /9.8
Height = (Initial Velocity)(Sin)^2/ (2)(9.8)

The Attempt at a Solution

I'm not sure if these equations are correct.

 

[alphysicist]

Hi itsmarasilly,

Homework Statement

Find the ball's hang time, range, and maximum height.
A player kicks a football from ground level with an initial velocity of 27.0 m/s, 60.0° above the horizontal. Find the ball's hang time, range, and maximum height. Assume air resistance is negligible.

Homework Equations

Range = Initial Velocity ^ 2 /9.8

This does not look right; it is missing a trig factor. Do you see what this formula needs to be?

Height = (Initial Velocity)(Sin)^2/ (2)(9.8)

This is not correct (although you might just have a typo in your equation). In particular, what is being squared here?

 

[itsmarasilly]

the 60 degrees? would it be put in the calculator as sin(60^2) or sin(60)^2, does it make a difference?

 

[LowlyPion]

the 60 degrees? would it be put in the calculator as sin(60^2) or sin(60)^2, does it make a difference?

The vertical component of your velocity is 27 * Sin 60. That's what you square.

 

[alphysicist]

Also your range formula still needs to be corrected. You can look here on the graph:

http://hyperphysics.phy-astr.gsu.edu/Hbase/traj.html#tra4

to find what your missing trig factor is.