A team is down by 4 points with 5 s left in the fourth quarter. The quarterback

Question

A team is down by 4 points with 5 s left in the fourth quarter. The quarterback launches a Hail Mary pass into the end-zone, 60 yards away, where a receiver is waiting to make the catch. Suppose the QB throws the ball at 55 miles per hour.
I - How fast is the throw speed, expressed in m/s?

II - At what angle (theta) to the horizontal must the ball be launched in order for it to hit the receiver? Neglect the efect of air resistance.

III - While there are two possible launch angles they are not, in fact, equivalent. To see this, compute the time of right for both launch angles, and decide based on these results which is the angle the QB must choose.

Step by step, please!

Explanation / Answer

1) 55 mph*0.4470424.5872 m/s or 24.6 m/s=Vo

60 yards to meters:60*0.914454.864 meters

2) x=Vo2*sin(2*)/g==>54.864*9.8/24.587220.8894

sin-1(0.8894)/231.4o

3) vox=Vo*cos(31.3988o)20.99 m/s==>x=vox*t==>54.864/20.992.6 seconds

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