SOLUTION: Baseball Tonisha hit a baseball into the air with an initial upward velocity of 48 feet per second. The height h in feet of the ball above the ground can be modeled by h=

SOLUTION: Baseball Tonisha hit a baseball into the air with an initial upward velocity of 48 feet per second. The height h in feet of the ball above the ground can be modeled by h= - 16

Question 118894:
Baseball Tonisha hit a baseball into the air with an initial upward velocity of 48 feet per second. The height h in feet of the ball above the ground can be modeled by h= - 16t2 + 48t + 2, is the time in seconds after Tonisha hit the baseball. Find the time it takes the ball to reach 38 feet above the ground.

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Plug in h=38

Subtract 38 from both sides.

Combine like terms

Factor the right side

Now set each factor equal to zero:
or

or Now solve for t in each case

Since we have a repeating answer, our only answer is (which is in decimal form)

Notice if we graph we can see that the only root is . So this visually verifies our answer.

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Answer:
So it takes 1.5 seconds for the ball to reach 38 above the ground
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