SOLUTION: An event in the Summer Olympics is 10-meter springboard diving. In this event, the height s, in meters, of a diver above the water t seconds after jumping is given by s(t) = - 4.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: An event in the Summer Olympics is 10-meter springboard diving. In this event, the height s, in meters, of a diver above the water t seconds after jumping is given by s(t) = - 4.      Log On


   

Question 1173489: An event in the Summer Olympics is 10-meter springboard diving. In this event, the height s, in meters, of a diver above the water t seconds after jumping is given by s(t) = - 4.9t2 + 7.6t + 10. What is the maximum height that the diver will be above the water? Round to the nearest tenth.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Highly recommend the following, if You do not have a graphing calculator

FREE graph software  https://www.padowan.dk/download/ 

s(t) = - 4.9t^2 + 7.6t + 10         |format at^2 + bt + c

Opening  downward as a < 0

Apply:  b/-2a

%287.6%29%2F%28-2%29%28-4.9%29+=+.78    t = .78 sec is the x value of the maximum

Using Your graphing calculator, evaluate  s(38/49)

h(.78) = 12.9 m

Wish You the Best in your Studies.