2.3 Differentiation Rules Worksheet - Calculus Maximus (Page 4 of 6) in pdf

2.3 Differentiation Rules Worksheet - Calculus Maximus Page 4

Calculus Maximus

WS 2.3: Differentiation Rules

17. (Calculator permitted) A priceless Faberge egg is dropped from the top of a building that is 1362 feet

 

 



tall. The egg’s height in feet at time t seconds is given by

h t

1362

 

(a) Find the average velocity, in ft/sec, of the egg on the interval

1, 2 seconds. Show the work that

leads to your answer (always).

(b) Based on your answer in part (a), fill in the blanks so that the following sentence verbally describes

the result found above.

“On the interval from t  ________ seconds to t  ________ seconds, the egg’s height is

_________________ (increasing/decreasing), on average, by _______________ feet per second.”

t 

seconds. Show the work that leads to your answer

(always).

(d) Based on your answer in part (c), fill in the blanks so that the following sentence verbally describes

the result found above.

t 

“At

___________, the egg’s height is _________________ (increasing/decreasing), by

64 _______________.”

(e) After how many seconds will the egg hit the ground? Show the work that leads to your answer.

(f) Find the velocity, in ft/sec, of the egg as it hits the ground.

Page 4 of 6

2.3 Differentiation Rules Worksheet - Calculus Maximus Page 4