Posted by **Praphul** on Saturday, December 15, 2012 at 4:48pm.

The sluggers were up to bat in the bottom of 9 th inning.theo slam was up to bat. As he hit the ball toward left field, it rose from 3 to 10 to 50 feet as the horizontal distance from home plate increased from 0 to 2 to 14 feet. Assume that the vertical distance varies quadratic ally with the horizontal distance. Define variable,write the ordered pairs and find the equation. What is the highest point the ball obtains? Will the ball make it over a 6 foot fence 295 feet from home plate.

- Math -
**Damon**, Saturday, December 15, 2012 at 5:12pm
y = k x^2 + b x + c

x , y

(0 ,3 )

(2 , 10 )

(14, 50 )

3 = k (0)^2 + b (0) + c

10 = k(2)^2 + b (2) + c

50 = k (14)^2 + b (14) + c

so

c = 3

7 = 4 k + 2 b

47 = 196 k + 14 b

49 = 28 k + 14 b

47 = 196 k + 14 b

-------------------subtract

2 = - 168 k

k = - .0119

then

7 = 4(-.0119) + 2 b

b = 3.523

so

y = -.0119 x^2 + 3.523

You can take it from there. Find the vertex by completing the square uness you know calculus, then find y at x = 295

## Answer This Question

## Related Questions

- Science - A 0.5-kg baseball is pitched at 45 m/s and is struck by a bat and sent...
- Physics - A 0.15 kg baseball is moving at 35 m/s toward home plate when it is ...
- Physics help!! - A 0.15 kg baseball is moving at 49 m/s toward home plate when ...
- Physics - A baseball whose mass is 0.25kg is struck by a bat. just before impact...
- Physics - A baseball player hits a home run that just barely clears the 12m high...
- Physics - A baseball player hits a home run that just barely clears the 12m high...
- physics - A baseball (m = 148 g) approaches a bat horizontally at a speed of 43....
- Physics - A bat strikes a 0.145-kg baseball. Just before impact, the ball is ...
- physics - A 0.145 kg baseball pitched at 35.0 m/s is hit on a horizontal line ...
- physics - A baseball of mass 0.145 kg approaches a bat at 40.0 m/s. After it is ...

More Related Questions