Function Festival 2000-1
An Escalator At The St. Louis Galleria
x rate = 5/(2(3^.5)) feet per second So:
x(t) = (5/(2(3^.5)) t feet where t seconds is variable time
and x(t) is horizontal x distance as a function of time t.
[ x(t) = (5/(2(3^.5)) t ] 1. Due to the 30 degree angle hence 30, 60, right angle triangle the horizontal x displacement is one half times the square root of 3, 3^.05, of the escalator tread displacement. If it takes t = 19.2 seconds for Point G to travel from Point B to Point E, then Point I will go from Point B to Point C in the same period of time.
Confirm the rate (speed) in the x direction is r = ___________ feet/second.
Related Concepts:
Speed
Function Notation
Y Rate
Slope
Linear Functions
Related Rate Equations
Linear Motion
History of d = r t
Other FUNctions
The Story Board