Mathematics 31 - Module 6 Assignment Booklet 24 Section 2 Assignment: Rates of Change Read all parts of your assignment carefully and record your answers in the appropriate places. 1. An object is moving in a straight line from a fixed point. The displacement s (in metres) is given by s= -21* + 281+45, 12 0, where f is in seconds. 1 a. Find the velocity at any time. 1 b. What is the velocity at ? = 3 s? c. Find : when the object reaches its maximum displacement. d. Find the maximum displacement reached by this object. 2 e. What is the average velocity from ? = 0 to 1 = 8? Mathematics 31 - Module 6 Assignment Booklet 1 f. Find the acceleration at any time. 1 g. Find the acceleration at 1 = 4. 2 h. Draw the graph of s as a function of t. 2 i. Describe the direction of the motion at ? = 3 s, 1 = 7 s, and 1 =9 s. Mathematics 31 - Module 6 Assignment Booklet j. Draw the graph of v as a function of t. 2 k. Describe both v and a