2311_2.1ClassActivity_F11

2311_2.1ClassActivity_F11 - 2. An object is dropped from...

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MAC2311 2.1 Activity: Secant Lines; Tangent Lines; Average Velocity; Instantaneous Velocity 1. The graph of ( ) 1 f x x = contains point ( ) 1 2, 2 P . a) Plot point P on the graph. Then use a straight- edge to sketch the tangent line at ( ) 1 2, 2 P . b) Suppose point Q is positioned at ( ) 1 ,2 2 . Line PQ accA is called a secant line . Sketch line PQ accA and calculate its slope. Answer: sec m = c) Rounding each answer to four decimal places if necessary, find the slope of each secant line PQ accA if the x -coordinate of point Q is… 1 x = 1.5 x = 1.9 x = 1.99 x = 1.999 x = Answers: sec m = sec m = sec m = sec m = sec m = d) Use the results of part d) to guess the value of the slope of the tangent line at ( ) 1 2, 2 P Answer: tan m = _______ e) Use your guess from part d) to write an equation for the tangent line to the curve at ( ) 1 2, 2 P . Answer: ____________________________
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Unformatted text preview: 2. An object is dropped from the top of the CN Tower in Toronto, 450m above the ground. The objects height above the ground (in meters) at time t seconds is given by ( ) 2 450 4.9 h t t =-. a) Over any given time interval during this experiment the average velocity of the object will be negative because height is a decreasing quantity. Calculate the average velocity of the object over each time interval. Round to three decimal places as needed, and use correct units in each answer. 3 4 t 3 3.5 t 3 3.1 t 3 3.01 t Answers: ave v = ave v = ave v = ave v = b) Use the results of part a) to guess the instantaneous velocity of the object at 3 t = seconds. Record the answer with correct units. Answer:...
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2311_2.1ClassActivity_F11 - 2. An object is dropped from...

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