During the Middle Ages, Henry Ill of England made an Assize of Arms in 1252. It obligated all freemen between the ages
of 15 and 60 In England to swear an oath to bear arms in the service of the king. Citizens were ordered to practice archery on
Sundays and holidays. One of the weapons that were used was the longbow. A skilled longbowman could release 10-12 arrows
per minute with a range of about 200 yards. Young boys were used to run additional arrows to the archers. Longbows were a
very beneficial weapon because since they were made of wood they could be easily crafted during times of war. Longbowman
were used to both defend their castles and on the battlefield.
Question 1. The path of the arrow is modeled by the equation h(t) =-16t^2 + 80t + 4 where t is the time in seconds and h(t) is the height of the arrow at time t. What type of vertex (minimum or maximum), would this quadratic function create? Explain, using any method, how you found your answer
Question 2. Find the coordinates of the vertex algebraically
Question 3. Construct an appropriate table of values to model this function. Choose an appropriate domain
T. h(t)
