151. s(t) = 2t 15t + 36t 10 - 153. A model rocket is fired vertically...

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151. s(t) = 2t 15t + 36t 10 - 153. A model rocket is fired vertically upward from the ground. The distances in feet that the rocket travels from the ground after t seconds is given by s (t) = 16t + 560t. a. Find the velocity of the rocket 3 seconds after being fired. b. Find the acceleration of the rocket 3 seconds after being fired. 164. A small town in Ohio commissioned an actuarial firm to conduct a study that modeled the rate of change of the town's population. The study found that the town's population (measured in thousands of people) can be modeled by the function P (t) = 1 + 64t + 3000, where t is measured in years. a. Find the rate of change function P' (t) of the population function. b. Find P' (1), P' (2), P' (3), and P' (4). Interpret what the results mean for the town. c. Find P" (1), P" (2), P" (3), and P" (4). Interpret what the results mean for the town's population. 151. s(t) = 2t 15t + 36t 10 - 153. A model rocket is fired vertically upward from the ground. The distances in feet that the rocket travels from the ground after t seconds is given by s (t) = 16t + 560t. a. Find the velocity of the rocket 3 seconds after being fired. b. Find the acceleration of the rocket 3 seconds after being fired. 164. A small town in Ohio commissioned an actuarial firm to conduct a study that modeled the rate of change of the town's population. The study found that the town's population (measured in thousands of people) can be modeled by the function P (t) = 1 + 64t + 3000, where t is measured in years. a. Find the rate of change function P' (t) of the population function. b. Find P' (1), P' (2), P' (3), and P' (4). Interpret what the results mean for the town. c. Find P" (1), P" (2), P" (3), and P" (4). Interpret what the results mean for the town's population.