Name ____________________________________ Date _____________________ Period _____ 1.) A ball is thrown straight down from the top of a 220-foot building with an initial velocity of -22 feet per second. What is its velocity after 3 seconds? What is its velocity after falling 108 feet? What is the ball’s terminal velocity? (When the ball hits the ground) HINTS!!!!! GIVEN: s(t )  16t 2  vot  so Where vo is the initial velocity and so is the initial position Hence, for this problem, s(t )  16t 2  (22)t  220 2.) During the first 40 seconds of a rocket flight, the rocket is propelled straight up so that in t3 t seconds it reaches a height given by s(t )  . 10 (a) What is its position at t = 40 seconds? (b) What is its average velocity on [0, 40]? (c) Find its velocity at t = 40 seconds. Name ____________________________________ Date _____________________ Period _____ 3.) Acceleration The velocity of an object in meters per second is v(t )  36  t 2 , 0  t  6 . (a) Find the velocity and acceleration of the object when t = 3. (b) What can be said about the speed of the object when the velocity and acceleration have opposite signs? 4.) Acceleration An automobile’s velocity starting from rest is v(t )  100t where v is 2t  15 measured in feet per second. Find the acceleration at: (a) 5 seconds (b) 10 seconds (c) 20 seconds 5.) A car is traveling at a rate of 66 feet per second (45 miles per hour) when the brakes are applied. The position function for the car is s(t )  8.25t 2  66t , where s is measured in feet and t is measured in seconds. Use this function to complete the table, and find the average velocity during each time interval. t 0 s(t) v(t) a(t) Average Velocity on: [0, 1] [1, 2] [2, 3] [3, 4] 1 2 3 4