You are kicking a ball in the air that is sitting on the ground. You are told the initial velocity and the distance to …

Question

A) determine if the ball is going up or down when it reaches the walls position

B)determine how fast the ball is going when it reaches the walls position

C)determine the height of the ball when it reaches the walls position

D)make sure the ball is at EXACTLY the height of the wall when it reaches the walls position

E)both a and b

A) determine if the ball is going up or down when it reaches the walls position

B)determine how fast the ball is going when it reaches the walls position

C)determine the height of the ball when it reaches the walls position

D)make sure the ball is at EXACTLY the height of the wall when it reaches the walls position

E)both a and b

Explanation / Answer

To find any of these things you need the angle you kick the ball at.
a. First to find if the ball is going up or down you take the distance to the wall and divide by vcosx, where x is the angle. This will give you the time to the wall. Then you take the equation for the up and down position y= vsinx(t)-4.9(vsinx)^2 and you take the derivative of this. Then plug in the time you found. If the number is positive it is going up, if it is negative its going down. If you cant take derivatives just plug in the time and then plug in a little later and sooner and just see whats its doing.
b. To find the speed of the ball you take the time to the wall and plug it into the velocity in the y equation which is yv=vsinx-9.8t to find the y velocity at the wall, then take this number squared plus vcosx square and take the square root of this sum.
c. i cant do this without knowing whether or not you know the angle of the kick or not.

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