SOLUTION: erika jumped off a cliff into the ocean while vacationing with some friends. her height as a function of time could be modeled by the h= -16t^2 + 16t + 96 where “t” is the time

Algebra.Com
Question 1177994: erika jumped off a cliff into the ocean while vacationing with some friends. her height as a function of time could be modeled by the h= -16t^2 + 16t + 96 where “t” is the time in seconds and “h” is the height in feet. what was the highest point that erika reached?
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!


the highest point that Erika reached is the vertex, so write equation in vertex form
......complete square
......factor out

....coefficient of is , so






=> vertex is at (,)
so, the highest point that Erika reached is feet


Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

erika jumped off a cliff into the ocean while vacationing with some friends. her height as a function of time could be modeled by the h= -16t^2 + 16t + 96 where “t” is the time in seconds and “h” is the height in feet. what was the highest point that erika reached?
The MAXIMUM height is reached when  or at 

We now get:  

RELATED QUESTIONS


Jason jumped off a cliff into the ocean while vacationing with some friends. His height... (answered by ewatrrr)

Jason jumped off a cliff into the ocean. His height as a function of time could be... (answered by Alan3354)

Jason jumped off a cliff into the ocean. His height function can be modeled by h(t)=... (answered by josmiceli)

Jason jumps from a cliff into the ocean. His height as a function of time could be... (answered by richwmiller)

A girl is throwing a ball off the cliff into the ocean. The polynomial 
h(t) = −16t2 +  (answered by ikleyn)

Michael throws a baseball into the air with an initial vertical velocity of 180 feet per... (answered by TimothyLamb)

A cliff driver jumps from the top of a cliff that is 150 feet tall. the distance from the  (answered by math_tutor2020)

a bungee jumper leaps off a cliff 122 meters from the ground. her cord, when fully... (answered by stanbon)

Susan jumped off a  cliff 720m high on a glider. She glided steadily down to the ground... (answered by ikleyn)