COS MCV4U Derivatives and their Applications Name Unit 2 Quiz-AOL Date KU 18 T/I 18 COM /10 |APP 18 K/U 1. Find the absolute extrema of the function f (x) = 2x3 - 3x2 - 12x + 1 on the interval x E [-2, 0]. (4 marks) 2. The amount of light intensity on a point is given by the function I (t) = tz +2t+ 16 where t+ 2 t is the time in seconds and t & [0, 14]. Determine the time of minimal intensity. (4 marks) 2MCV4U Derivatives and their Applications Name Unit 2 Quiz-AOL Date TAI 3. The position-time relationship for a moving object is given by s(t) = kt2 + (6k2 -10k)t + 2k, where k is a non-zero constant. a. Show that the acceleration is constant. b. Find the time at which the velocity is zero, and determine the position of the object when this occurs. (4 marks) 4. A baseball is hit vertically upward. The position function s(t), in metres, of the ball above the ground is s (t) = -5t2 + 30t + 1, where t is in seconds. a. Determine the maximum height reached by the ball using derivatives. b. Determine the velocity of the ball when it is caught 1 m above. the ground. (4 marks) W