SOLUTION: Hi Need Help with this Question Gerald hit his golfball down the fairway. The path the ball followed was parabolic in the shape with the relationship: h=2d-1/30^2 Where h is th

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Hi Need Help with this Question Gerald hit his golfball down the fairway. The path the ball followed was parabolic in the shape with the relationship: h=2d-1/30^2 Where h is th      Log On


   

Question 234369: Hi
Need Help with this Question
Gerald hit his golfball down the fairway. The path the ball followed was parabolic in the shape with the relationship:
h=2d-1/30^2
Where h is the height above the ground of the golf ball when it is a horizontal distance d from him. Both h and d are in meters. How far from Gerald did the golf ball land?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Gerald hit his golfball down the fairway.
The path the ball followed was parabolic in the shape with the relationship:
h=2d-1/30^2;
I think the equation should be h+=+2d - 1%2F30d%5E2
(What you have, is not a parabola)
;
Where h is the height above the ground of the golf ball when it is a horizontal distance d from him.
Both h and d are in meters. How far from Gerald did the golf ball land?
:
When the ball lands h = 0, therefore, we can write it:
-1%2F30d^2 + 2d = 0
multiply equation by -30, gets rid of the fraction & changes the signs & you have:
d^2 - 60d = 0
;
Factor out d
d(d - 60) = 0
:
Two solutions
d = 0 (when the ball is hit)
and
d = 60, when the ball lands
:
Looks like this:
+graph%28+300%2C+200%2C+-20%2C+65%2C+-10%2C+60%2C+%28-1%2F30%29x%5E2+%2B+2x%29+