SOLUTION: the height h(x), of an object is given by the function h(x)=-16x^2+97x+76 where x is time in seconds and h(x) is height in feet. find the average velocity between x=1 x=2

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: the height h(x), of an object is given by the function h(x)=-16x^2+97x+76 where x is time in seconds and h(x) is height in feet. find the average velocity between x=1 x=2      Log On


   

Question 1094478: the height h(x), of an object is given by the function h(x)=-16x^2+97x+76 where x is time in seconds and h(x) is height in feet. find the average velocity between x=1 x=2
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
h%28x%29=-16x%5E2%2B97x%2B76
At 1 second, time x=1 , the height in feet is
h%281%29=-16%2A1%5E2%2B97%2A1%2B76=-16%2B97%2B76=157 .
One second later, at time x=2 , the height in feet is
h%281%29=-16%2A2%5E2%2B97%2A2%2B76=-16%2A4%2B194%2B76=-64%2B194%2B76=206 .
The height increased by 206-157=49 feet,
as time increased by 1 second,
so the average velocity is 49feet%2F%221+second%22=%2249+feet+%2F+second%22.