A football is thrown by a quarterback, the footballs height in feet will be 7.5 ft in the air because that's about the right height that your favorite football player would catch the ball. Also you want to know if the most despised cornerback in the league will be able to interfere with the catch.

Question

After the football was thrown, you noticed that it had a height of 7 ft, but 3 seconds later, it reached ita peak height of 15ft

1)make a function to represent the height of the ball

then use that function to find out how long it would take for the football to reach 7.5 ft

Assume the cornerback was 100 ft away from the destination of the ball when you 1st noticed the balls height, the cornerback can run at a speed of 20ft per second, will the cb have time to interfere with the catch if hes running directly towards the balls destination with the receiver

Answer 1

Since the peak height of 15 was reached at t=3,

h(t) = a(t-3)^2 + 15
Since h(0) = 7, a = -8/9, so
h(t) = -8/9 (t-3)^2 + 15

Now you can answer the questions

Answer 2

I still need more help i need to explain it in a paragraph on how i got the anser

Answer 3

I need help