Question 6 (Essay Worth 10 points) (04.01 HC) 1 0 1 2 3 4 5 6 Velocity vs. Time The velocity graph represents a vehicle's velocity in miles per hour during a three-hour trip. A. Describe a method for finding the average velocity during the second hour. (3 points) B. Determine the units representing the rate of change of the velocity at 2 hours. (3 points) 0. What does v '(2) represent based on the graph? (4 points) Question 7 (Essay Worth 10 points) [a (04.03 HC) Aconstant volume of cookie dough is formed into a cylinder with a relatively small height and large radius. When the cookie dough is placed into the oven, the height of the dough decreases as the radius increases, but it retains its cylindrical shape At time t, the height of the dough is 6 mm, the radius of the dough is 20 mm, and the radius of the dough is increasing at a rate of 2 mm per minute. Part A: At time t, at what rate is the area of the circular surface of the cookie dough increasing with respect to time? (5 points) Part B: At time t, at what rate is the height of the dough decreasing with respect to time? (5 points) Question 1(Multiple Choice Worth 6 points) (04.01 MC) A particle is moving along the x-axis such that its position is given as a function of time as x(t) = 213 - 312. At what time is the particle stopped? Ot = 0 and t = 1.5 Ot = 0 and t = 1 Ot = 0.5 The particle is never stoppedQuestion 2(Multiple Choice Worth 6 points) (04.03 MC) A spherical balloon is being inflated with helium at a rate of 20Tr cm3/min. How fast is the balloon's radius changing when the radius is 1 cm? 4 cm/min 5 cm/min 10 cm/min 20 cm/minQuestlon 3(Multiple Choice Worth 6 points) :2: (04.01 MC) -1 o 1 2 a 4 5 6 Velocity vs Time The velocity of a particle traveling along an axis is given. Near what time is the instantaneous acceleration equal to 0'? U Question 4(Multiple Choice Worth 6 points) (04.02 MC) Suppose the rate of change of rainfall, measured in millimeters per second, is represented by the following function, where t is the number of seconds and 0 5 ts 10. F+at+1 :57 R(f)= % t>7 What is R(3)? O16 mmlsec O 16 mm/se02 O 2 mm/sec Question 5(Multiple Choice Worth 6 points) (04.01 MC) The depth of a rain puddle D(t) is given in inches, and t is given in minutes. If the depth is changing with respect to time, which expression gives the rate at which the depth of the water is changing at 3 minutes? O D'(3) O D(4) - D(2) O D"(3) O D"(4 ) - D" (2 )