Notes:
1. For 20 - 22, you will want to read the section above Example 4 in
the text (p. 41) titled Formulas for position and velocity.
v0 andh0
represent the initial
velocity of the thrown ball and initial height of the ball,
respectively.
2. For 31 - 39, the object's position on the x-axis is described by
the distance from 0. That is, the position graph will document the
object's distance from 0 over time as described in each of 31-39.
You are not given specific values so you are drawing a generalized
graph– no scales on the axes. In some cases you are given
information that allows you to sketch the position graph while at
other times you are given information that will help sketch the
velocity graph. In both cases, your task is to interpret the
position or velocity graph you've drawn and create the other two
graphs. Thus each problem will have 3 graphs.
3. For 47 - 48, you are given the graph of the derivative. Thus you
can see from the graph that f´(-1) is 4. Consider what that
tells you about f. The information in the problem is about the
function f. You need to put the information given to you about f
with information you get from the graph of f´ to write the
equation of the tangent line.
4. For 54 take advantage of your calculator. Set the window to a
reasonable domain and range based on the fact that you are throwing
a ball.