Posted by **Lindsey** on Monday, January 3, 2011 at 5:22pm.

a baseball player hits sa pitch when the ball is 2 feet off the ground. two hundred feet from the plate, the ball reaches its maximum height of 82 feet. will the ball clear the home run wall that is 10 feet high and 380 feet from home plate?

- math -
**Reiny**, Monday, January 3, 2011 at 5:53pm
Are we to assume that the path of the ball follows a quadratic function ?

If so, then (200,82) would be the vertex.

let the equation be y = a(x-200)^2 + 82

when x = 0, y = 2

2 = a(-200)^2 + 82

a = -1/500

so y = (-1/500)(x-200)^2 + 82

when x = 380

y = (-1/500)(380-200)^2 + 82 = 17.2

which is more than 10 feet

so , yes, it will clear the home run wall

## Answer This Question

## Related Questions

- Math - A baseball player hits a pitch when the ball is 2 feet off the ground. ...
- math - A major leaugue baseball player hits a ball 3 feet above the ground with ...
- math - A major leaugue baseball player hits a ball 3 feet above the ground with ...
- math - A major leaugue baseball player hits a ball 3 feet above the ground with ...
- math - A ball is thrown into the air with an upward velocity of 20 ft/s. Its ...
- math - a baseball is hit with an initial velocity of 75 feet per second from the...
- calculus - A baseball pitcher throws a baseball with an initial velocity of 133 ...
- math - In slow- pitch softball the ball is pitched in an underhand motion. A ...
- Math - You throw a ball into the air with an initial vertical velocity of 31 ...
- math - A robotic basketball player tosses a ball upward from a height of 7 feet...

More Related Questions