H(t)=-16t^2+7744

Question

A thermometer falls from a weather ballon at a height of 7,744 ft. If the equation for the height as a function of time is h(t)=-16t^2 + initial height where t is time in seconds and h(t) is height in feet, how many seconds will it take for thr thermometrr to hit thr ground?

[?] Seconds

Answer 1

set the H(t) formula equal to zero and solve for t

-16t² + 7744 = 0

16t² = 7744

t = the square root of 7744/16 = square root of 484 = 22 seconds