Activity 4.1.3. A ball is tossed vertically in such a way that its velocity function is given by v(t) = 32 321', where t is measured in seconds and v in feet per second. Assume that this function is valid for 0 s t 5 2. a. For what values of t is the velocity of the ball positive? What does this tell you about the motion of the ball on this interval of time values? b. Find an antiderivative, s, of 0 that satises 3(0) 2 0. c. Compute the value of 5(1) s( %). What is the meaning of the value you nd? (:1. Using the graph of y = v(t) provided in Figure 4.1.8, find the exact area of the region under the velocity curve between t = E? and t = 1. What is the meaning of the value you find? tt/sec 24 Figure 4.1.8: The graph of y = v(t). e. Answer the same questions as in (c) and (d) but instead using the interval [0,1]. f. What is the value of 5(2) 5(0)? What does this result tell you about the flight of the ball? How is this value connected to the provided graph of y = v(t)? Explain