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September 20, 2014

September 20, 2014

Posted by **Lindsay** on Tuesday, November 6, 2007 at 7:59pm.

Do I need to use delta x = Vx x t to solve for time first? Then what?

- Physics -
**bobpursley**, Tuesday, November 6, 2007 at 8:34pmI dont know the point of this problem: should air friction be ignored or not?

I think I would ignore air friction, which in reality is silly, but anyway.

Using the intial velocity and angle, solve for the initial vertical and horizontal velocities.

Using the vertical velocity, one needs to find the time of flight.

yf=yi+vyi*t - 4.9 t^2

1=0+7.83t-4.9t^2

4.9t^2-7.83+1=0 using the quadratic formula...

t= (7.83 +- sqrt (61.3-20)/9.8=1/45 sec

Now, where is the ball at that time?

d= 17.97cos25.83 * time=23.45 meters, within the goalie reach of .4 meters.

Now, what is the difference in energy?

Intial energy = 1/2 mv^2

final energy= 1/2 mvf^2 + mgh where h is one meter.

vf^2= vi^2 - 2gh

vf= sqrt (17.97^2 - 2*g*1)=17.42m/s

This problem is subject to a lot of differing assumptions, the main one is friction due to air. This assumes the ball is caught by moving the arms of the goalie.

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