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Calc AB Velocity Worksheet V.1 September 24 , 2010 Name______________ 1. A penny is dropped from a height of 50 ft. A. Write the position function for the penny:__________________ B. Write the velocity function:___________________________ C. What is the penny’s average velocity on the time interval [ .5 , 2 ] ________________ D. What is the penny’s average velocity on the time interval [ 1 , 3 ] ________________ E. Approximately when will the penny hit the ground?______________________ F. Approximately what is the penny’s velocity when it hits the ground?_____________ 2. At time t = 0, a silver dollar is dropped from the top of the Washington Monument which is 555 ft high. A. Write the position function for the silver dollar:__________________ B. Write the velocity function:___________________________ C. Approximately when will the dollar hit the ground?______________________ D. Approximately what is the dollar’s velocity at impact?_____________ E. What is the dollar’s velocity after 1.5 second?____________________ F. What is the dollar’s velocity after 2 seconds?___________________ 3. A ball is fired straight up from the ground level and has an initial velocity of 200 feet per Second. A. Write the position function:________________________ B. Write the velocity function:___________________________ C. What is the ball’s average velocity on the time interval [ 1 , 2 ] ________________ D. When will the ball hit the ground?__________________________ E. What is the ball’s velocity after 2.5 second?____________________ F. What is the ball’s velocity at impact?_____________________ G. When will the ball reach its highest point?_____________________ 4. A diver takes a dive from a 30 foot platform with an initial velocity of 5 feet per second. A. Write the position function:________________________ B. Write the velocity function:___________________________ C. When will the diver hit the water?:________________________ D. What is the diver’s velocity when she hits the water?:___________________________ E. When will the diver reach her highest point?________________________ F. What is the diver’s velocity when she reaches her highest point?________________ Two runners, A and B, run on a straight racetrack for 0 t 10 seconds. The graph above, which consists of two line segments, shows the velocity, in meters per second, of Runner A. 24t The velocity, in meters per second, of Runner B is the function v deinfed by v(t ) . 2t 3 a) Find the velocity of Runner A and the velocity of Runner B at time t2 seconds. b) Find the acceleration of Runner A and the acceleration of Runner B at time t2 seconds. The graph of the velocity v(t ) , in ft/sec, of a car traveling on a straight road, for 0 t 50 , is shown above. A table of values for v(t ) , at 5 second intervals of time t , is shown to the Right of the graph. a) During what intervals of time is the acceleration of the car positive? Give a reason. b) Find the average acceleration of the car, in ft/sec2, over the interval 0 t 50 .

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final answer, removable discontinuity, the Washington Monument, foot ladder, horizontal asymptote, vertical asymptote, top of the ladder, ground level, time interval, initial velocity

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posted: | 6/26/2011 |

language: | English |

pages: | 4 |

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