Posted by **Armun** on Monday, January 23, 2012 at 8:43pm.

Can you please help me with a math problem

Suppose the ball was 3.24 feet above ground when it was hit, and that it reached a maximum height of approximately 102.51 feet when it had traveled a ground distance of approximately 214.26 feet. The ball lands after traveling a ground distance of approximately 432 feet.

Find an equation of the form y = C(x-z1)(x-z2) where z1 and z2 are the zeros (or roots) of the quadratic polynomial (or x-intercepts of the graph) and C is a scaling constant that needs to be determined.

Thanks!

- Math -
**Steve**, Tuesday, January 24, 2012 at 12:29am
the vertex is at (214.26,102.51)

So, y = C(x-214.26)^2 + k

102.51 = C(0)^2 + k

so, k = 102.51

y = C(x-214.26)^2 + 102.51

0 = C(432-214.26)^2 + 102.51

C = -0.002162

y = -0.002162(x-214.26)^2 + 102.51

y = -.002162x^2 + .92646x + 3.25831

y = -.002162(x+3.4885)(x-432)

- Math -
**HUNU**, Tuesday, January 24, 2012 at 9:21pm
Why are these poor models for a parabola, Where a ball starts a a certain point and then is hit to reach a maximum height (vertex) and then lands at a certain point

i. y = -0.002x(x - 437.1)

ii. y = -0.5x + 216x + 3

iii. y = -0.002x + 0.879x + 3.981

iv. y = -0.002x + 0.8732x - 3.981

Thanks!

## Answer this Question

## Related Questions

- Tough Math - Suppose the ball was 3.24 feet above ground when it was hit, and ...
- calculus - I need help with this problem: The path traveled by a golf ball with ...
- math - a baseball is hit with an initial velocity of 75 feet per second from the...
- math - A robotic basketball player tosses a ball upward from a height of 7 feet...
- math - You are playing volleyball. You hit the volleyball with an initial ...
- Algebra - A baseball is hit at a point 2 feet above the ground at a velocity of...
- Math - The path of a basketball foul shot is modelled by the relation h=-0.44d*2...
- Physics - A baseball is hit at ground level. The ball reaches its maximum height...
- physics - A baseball is hit at ground level. The ball reaches its maximum height...
- Physics - A baseball is hit at ground level. The ball reaches its maximum height...