A rookie quarterback throws a football with an initial upward velocity component

Question

A rookie quarterback throws a football with an initial upward velocity component of 15. 5m/s and a horizontal velocity component of 21. 7m/s . Ignore air resistance. How mu Ch time is required for the football to reach the highest point of the trajectory? Express your answer using three significant figures. How high is this point? Express your answer using three significant figures. How mu Ch time (after it is thrown) is required for the football to return to its original level? Express your answer using three significant figures. How does this compare with the time calculated in part (a). Express your answer using three significant figures. How far has it traveled horizontally during this time? Express your answer using three significant figures.

Explanation / Answer

a)VYi=15.5m/s

VYf=0

VYf=VYi-gt

t1/2=(VYf-VYi)/-g

t1/2=1.58 sec

b)

Yf = Yi + Vyi t – 0.5 g t2

Yf=(15.5)(1.58)-0.5*9.81*1.582

Yf=12.24m

c)t=2t1/2=2*1.58 =3.16 sec

d)it is the time for football to travel to and fro

e)Y=2*12.24=24.5m

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