MAT 161
Assignment #4

pp. 44 – 46  # 1-15, 20-22, 31-48, 51-54, 56, 58, 61 

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 and h0 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.