-Velocity & Acceleration, Motion on a straight
The position of an object on a line relative to the origin is a
function of time, t, : S(t)
Instantaneous rate of ch
Wow! I can do all that?
FOR EACH FUNCTION:
#1. Find the instantaneous rate of change function using a limit approach with algebraic manipulation. This is
called finding the derivative of a function by first principles.
f x h f x
IROC = lim
Case 1: The town planners have hired you to design a rectangular enclosure for a childrens day care. They will
provide you with 122 metres of fencing. They would like your design to enclose the greatest possible area for
the children to play in. W
Unit 7-Day 4: Related Rates Ch. 5.3: 3-16
1. A raindrop falls in a still puddle and spreads out
in concentric circles. The rate of change in the radius
a) Find the rate of increase of the circumference o
y 2 x 3 x 2 32 x 16
( x 2)
( x 2)( x 3)
1. On grid paper, sketch the two functions your group was given using techniques developed in
Advanced Functions. What key points are you missing to make your sketches more detailed?