NAME: __________________________________________________________________________

1.

Find the equation of a tangent line that is tangent to the function

2.

Find the equation of a line that is perpendicular to the tangent line of a function and it also passes through the same tangent point

(Hint: the slopes of 2 perpendicular lines are opposite and reciprocal to each other)

3.

Find the equation of a tangent line that is tangent to the curve .

4.

A ball is tossed vertically up in the air from a roof of a building 240 foot tall with the initial velocity of 64 feet per second. The position of the ball in the air after t seconds is represented by the function where h : height of the ball in the air after t seconds. Where t : time and, initial velocity and initial height respectively.

a. What is the velocity and acceleration of the ball in the air after 5 seconds?

(the acceleration measures the rate change of the velocity ) Ans: -96 ft/sec and -32 ft/

b.

When does the ball hit the ground and what is the velocity of the moment of impact? Ans: After seconds and the velocity of impact is -139.52ft per second.

33

(,)

pp

–

2

3

(:)

ansyx

p

=+

23

40,(2,1)

xyat

-=

1

3

(:(1))

ansyx

=+

2

00

()16

httvth

=-++

00

&:

vh

()

at

()

vt

2

sec

476

2

6.36

+

»

(

)

2

62,1

xxyat

+=

5

2

(:6)

ansyx

=-+

cos(3)

yxy

=

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