SOLUTION: I have a question that needs an equation. A ball is thrown over a 5 ft fence. The ball clears the fence, but without much room to spare. The ball lands 10 ft from the fence.

Question 523903: I have a question that needs an equation.
A ball is thrown over a 5 ft fence. The ball clears the fence, but without much room to spare. The ball lands 10 ft from the fence. Using the fence as the axis of symmetry, write an equation that approximates the path of the ball. (Let the origin be where the fence meets the ground.)
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A ball is thrown over a 5 ft fence.
The ball clears the fence, but without much room to spare.
The ball lands 10 ft from the fence.
Using the fence as the axis of symmetry, write an equation that approximates the path of the ball.
(Let the origin be where the fence meets the ground.)
:
Assume the ball reaches a height of 6 ft to clear the 5 ft wall
:
The equation will be the difference of squares, (no middle term)
:
Find the coefficient of x^2, using ax^2 + bx + c, where c = 6
when x=10, y=0 and x=-10, y=0, write two equations
100a + 10b + 6 = 0
100a - 10b + 6 = 0
-------------------adding eliminates b, find a
200a + 12 = 0
200a = -12
a = -12/200
a = -.06
therefore the equation is: y = -.06x^2 + 6
:
Graph would look like this

RELATED QUESTIONS
Would someone be so kind as to help with this? A ball is thrown over a 5 ft fence.... (answered by Alan3354)

Suppose you throw a ball over a 10-ft fence. Barely clearing the fence, the ball reaches... (answered by josgarithmetic)

My fence is 7' high and it's 220' to the base of the fence. What is the lenght of a ball... (answered by Alan3354)

Hey there. the question is- A 2m high fence lies 3m from a wall of abuilding. A ladder... (answered by edjones)

A ball is thrown at an angle of 25 degrees with an initial velocity of 60 Ft/sec towards... (answered by Fombitz)

A tennis ball is served from a height of 8 feet and just clears the net that is 3 feet... (answered by Alan3354)

you and your friend are walking around a tennis court that has a 10-foot high fence... (answered by Alan3354)

2. Suppose that a ball is thrown upward with an initial velocity of 22 ft/sec. If the... (answered by jim_thompson5910)

Please help with my final exam review question A ball is thrown across a playing... (answered by Alan3354)