Posted by **Melisa** on Friday, April 8, 2011 at 12:56am.

With the given model: h=-0.045d^2+2d

where h is the height of the ball from the ground(in yards) and d is the horizontal distance of the ball(in yards) from its starting point.

A.)Pat is standing on the 17-yard line when the football passes over his head. How high up is the football at this point?

B.)The football is 8 yards above the ground when it passes over Billy. At what yard line is Billy standing when the football passes over his head?

- MATH URGENT!!!! -
**Jai**, Friday, April 8, 2011 at 1:42am
for (a), we substitute 17 to d in the equation for the height,h:

h = -0.045d^2 + 2d

h = -0.045*(17^2) + 2(17)

h = 20.995 yards

for (b), we are given the height and we need to find the horizontal distance. substituting,

h = -0.045d^2 + 2d

8 = -0.045d^2 + 2d

0 = -0.045d^2 + 2d - 8

note that this is a quadratic equation and we can either factor it or use quadratic formula to solve for d,, here, let's just use quadratic formula:

d = [-b +- sqrt(b^2 - 4ac)]/(2a)

d = [-2 +- sqrt(2^2 - 4(-0.045)(-8))]/(2(-0.045))

d = [-2 +- sqrt(2.56)]/(-0.09)

d = [-2 +- 1.6]/(-0.09)

d = 40 yards

d = 4.44 yards

note that there are two answers. for the 4.44 yards, the ball is going up, while for the 40 yards, the ball is already going down.

hope this helps~ :)

## Answer This Question

## Related Questions

- Math - A soccer ball is kicked from the ground. After travelling a horizontal ...
- algebra - I am confused about this one. It is about football. "In a football ...
- Physics - A quarterback makes a pass, throwing the ball at 21 m/s and an angle ...
- Physics - A quarterback makes a pass, throwing the ball at 21 m/s and an angle ...
- science - A Football is thrown by a quarterback to a receiver. When the ...
- Physics - A quarterback takes the ball from the line of scrimmage, runs backward...
- Math - Football Lesson 5.1 1. y= -0.035x^2 + 1.4x + 1, where x is the distance (...
- physics - A quarterback takes the ball from the line of scrimmage, runs backward...
- Math - A standard football field is 100 yards long and 53 1/3 yards wide. A ...
- Math - A quarterback takes the ball from the line of scrimmage, runs backwards ...

More Related Questions