Niagara Falls is made up of three waterfalls. The height of the Canadian Horseshoe Falls is about 188 feet above the lower Niaga
ra River. A log falls from the top of Horseshoe Falls.
a. Write a function that gives the height h (in feet) of the log after t seconds. How long does it take the log to reach the river? Round your answer to the nearest
tenth
where v0 is the initial upward velocity, and s0 is the initial height above some reference point.
Here, we presume there is no initial vertical velocity, and the height is given as 188 ft above the river. Since we want the time to reach the river, we're solving ...
h(t) = -16t^2 +188
h(t) = 0
-16t^2 +188 = 0
t^2 -11.75 = 0
t = √11.75 ≈ 3.4
It takes about 3.4 seconds for the log to reach the river.
