3. A ball is thrown straight up with an initial velocity of 123 three, so that its height (in feet) after 1 seconds is given by 30') = 461' +128: A. What is the verge velvety of the ball over the time intervals? 3.. {2, 3] ' b. [2, 2.5] c. [2. 2.1} B. What is the instantaneous velocgg' at time t = 2'? C. What is the instantaneous velar-y at time t=5? Is the ball rising or falling? D. When will the ball hit the ground? 4. An object is dropped from a certain height. It is known that it will fall a distance 3, in feet, in t seconds, given by so) = 4612 A. HOW far will it fall in 3 sec? B. Howfarwill it fall in 5 sec? C. What is the average me a: change of distance with respect to time during the period from 3 to 5 see? (This is also average velocity). 5. During the construction of a highrise building, a worker aGCidentally dropped his portable electric screwdriver from a height of400 ft. After-t seconds, the sorewdriver had fallen a distance of 3(2') = 4612 + 400 A. How long did it take the screwdriver to hit the ground? B. What was the average velocity of the screwdriver between the times it was dropped and the time it hit the ground? C. What was the velocity of the screwdriver at the time it hit the ground? 6. The initial population in a bacteria coiony is 10,000. After t hours, the colony has grown to a number P(t) given by P0) = 10,000(l+ 0.86! + :2) A. Find the rate of change of the population P with respect to time. This is also known as growth rate. E. Find the number of bacteria present after 5 hours. C. Find the growth rate when t = 5