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Algebra
Question

6. Physics students drop a ball from the top of a ...

6. Physics students drop a ball from the top of a \( 100 \) foot high building and model its height above the ground as a function of time with the equation \( h ( t ) = 100 - 16 t ^ { 2 } \) . The height, \( h \) , is measures in feet and time, \( t \) , is measured in seconds. Be careful with all calculations in this problems and remember to do the exponent (squaring) first. 

(a) Find the value of \( h ( 0 ) \) . Include proper units. What does this output represent? Reread the problem if necessary.

(b) Calculate \( h ( 2 ) \) . Does our equation predict that  the ball has hit the ground at \( 2 \) seconds? Explain. 

Answer

100

36

Solution
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