# algebra

A baseball player hits a baseball into the outfield. The following equation models the ball's path. If not caught, when will the baseball land? Round to the nearest tenth second.

h = -16t^2 + 50t + 4

asked by tracy
1. OK. The four questions you posted are all basically the same. Here's help on this one:

The baseball will land when the height is zero.

So, you need to solve

-16t^2 + 50t + 4 = 0

Unless you see an abvikus factoring, use the quadratic formula:

for f(x) = ax^2 + bx + c,

x = (-b ± √(b^2 - 4ac)]/2

Here, a = -16
b = 50
c = 4

t = (-50 ± √(50^2 - 4(-16)(4))]/-32
= (-50 ± √(2500 + 256)]/-32
= (-50 ± √2756]/-32
= (-50 ± 52.5)]/-32

t = -0.07 or 3.2

Since time is positive, use t = 3.2 sec

posted by Steve

## Similar Questions

1. ### algebra

A baseball player hits a ball toward the outfield. The height h of the ball in feet is modeled by h(t) = -16t2 + 22t + 3, where t is the time in seconds. In addition, the function d(t) = 85t models the horizontal distance d
2. ### Alg1

A baseball player hits a baseball into the outfield. The equation h= -0.005x^2 +x+3 give the path of the ball, where (h) is the height and (x) is the horizontal distance the ball travels. A. What is the equation of the axis of
3. ### Alg 1 quadratic functions

A baseball player hits a baseball into the outfield. The equation h= -0.005x^2 +x+3 give the path of the ball, where (h) is the height and (x) is the horizontal distance the ball travels. A. What is the equation of the axis of
4. ### algebra

A baseball player hits a ball toward the outfield. The height h of the ball in feet is modeled by h(t) = -16t2 + 22t + 3, where t is the time in seconds. If no one catches the ball, how long will it stay in the air? (Round to the
5. ### Math

A baseball player hits a baseball into the outfield. The equation h= -0.005x^2 +x+3 give the path of the ball, where (h) is the height and (x) is the horizontal distance the ball travels. An outfielder catches 3 ft above the
6. ### algebra

BASEBALL The equation h = –0.005x2 + x + 3 describes the path of a baseball hit into the outfield, where h is the height and x is the horizontal distance the ball travels. a. What is the equation of the axis of symmetry? b. What
7. ### Math

A baseball is thrown upward. The path of the baseball models the equation h= -4.9t^2 + 9.2t + 1.6, where h is height of the ball, in metres, after t seconds. How long does it take the baseball to fall to the ground? Plzzz help
8. ### physics

A baseball player hits the ball at a speed of 20.1 m/s and an angle of 30 degrees. What is the baseball's horizontal velocity? What is the baseball's vertical velocity? How long does it take the baseball to get 28m in front of
9. ### physics

A baseball player hits the ball at a speed of 20.1 m/s and an angle of 30 degrees. What is the baseball's horizontal velocity? 1m/s What is the baseball's vertical velocity? 2m/s How long does it take the baseball to get 28m in
10. ### Pre-Cal

A baseball player throws baseball at a velocity 139ft per second at an angle of 20 degrees. The ball leaves the players hand at a height of 5 feet. The path of the ball has a parametric equation x=v(o)t cos(o) and

More Similar Questions