SOLUTION: A bowling ball is dropped from a height of 24 feet. a. Write a function that gives the height h (in feet) of the bowling ball after t seconds. h(t)=__ b. Find the height o

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A bowling ball is dropped from a height of 24 feet. a. Write a function that gives the height h (in feet) of the bowling ball after t seconds. h(t)=__ b. Find the height o      Log On


   



Question 1051697: A bowling ball is dropped from a height of 24 feet.
a. Write a function that gives the height h (in feet) of the bowling ball after t seconds.
h(t)=__
b. Find the height of the bowling ball after 1 second.
The height of the ball after 1 second is __ feet.
c. How long does the bowling ball take to hit the ground? Round your answer to the nearest hundredth of a second.
The bowling ball takes about __ seconds to hit the ground.

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
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A bowling ball is dropped from a height of 24 feet.

a.  Write a function that gives the height h (in feet) of the bowling ball after t seconds.
h(t) = - 16t^2 + 24      (*)                          <<<---===

b.  Find the height of the bowling ball after 1 second.

The height of the ball after 1 second is __ feet.     <<<---=== substitute t=1 into the polynomial (*)

c.  How long does the bowling ball take to hit the ground? Round your answer to the nearest hundredth of a second.

The bowling ball takes about __ seconds to hit the ground.    <<<---=== Solve the quadratic equation h(t) = 0, or, which is the same, 
                                                              the quadratic equation  -16t%5E2+%2B+24 = 0.