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Calc AB Worksheet 2

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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      t2    seconds.




b) Find the acceleration of Runner A and the acceleration of Runner B at time        t2      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 .