The Apollo's Chariot, a rollercoaster at Busch Gardens, moves at 110 feet per second. The equation of the ride can be represented by the function h(t) = -162 + 101t +10. What is the maximum height reached by the ride?
+130518 I think the equation is : h(t) = -16t^2 + 101t +10
The speed doesn't really matter....it just affects the time to reach the max, not the height itself.....
The t value of the max height = -101 / 2(-16) = 101/32 = 3.15625.......this means it takes 3.15625 seconds to reach the max
So....putting this back into the function to find the max height, we get
h(3.15625) = about 169.39 ft
Here's the graph that confirms this :https://www.desmos.com/calculator/mlkprdvvqh
