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. b. What is the velocity at t = 3 s? 1 c. Find : when the object reaches its maximum displacement. 1 d. Find the maximum displacement reached by this object. 2 e. What is the average velocity from = 0 to t = 8? Mathematics 31 - Module 6 Assignment Booklet 1 f. Find the acceleration at any time. 1 g. Find the acceleration at ? = 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 t = 9 s. Mathematics 31 - Module 6 Assignment Booklet 2 j. Draw the graph of v as a function of t. 2 k. Describe both v and a