Question

A Longhorn kicker recently kicked a 54-yard field goal during practice. The football started at a height of 0 ft, and the football was 12 ft off the ground when it made it a horizontal distance of 54 yards. Assume that the football hits the ground 10 yards after it passes the goal post. What was the maximum height of the football? Round to the nearest whole number in FEET.

Answer 1

Answer: 23 feet

Vertex form: y=a(x-h)^2+k

we will draw a graph and have 3 points( 0,0), (54,12) and (64,0)

Then convert yard to feet, (0,0),(162) and (192,0)

0=a(0-96)^2+k

a= -k/9216

then

0=a(0-96)^2+k

12=-k/9216(162-96)^2+k

k=22.755 round it to 23