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A
.
P2 Sample Final (30 minutes)
*
..
VECTOR PROBLEMS
1. What is the vector sum
of a vector with magnitude 4 at
60 degrees
d magnitude 4
at +60 degrees?
a) Magnitude 4, +90 deg
b)Magnitude 8, 0 deg
<§2Fagnitude 4,
~
di)
d) Magnitude 4, 120 deg
e) none
of the previous
2. What is the scalar product
of
th~rs
described above?
a) 0
b)8
c) 16
~
e)none ofthe previous
3. What is the magnitu@ff)thevectordifferenceABif A=(1,2) and B=(1,2)?
a) 0
b)2
c) 3
d)4
e)none
ofthe previous
A
13;;.
(~2.)
t'
("'»)
+2)
;.
WORD PROBLEM
4) You have two employees painting a wall. The fIrst employee takes twice as long as
the second employee to paint the same area. During a typical 8hour day, the fIrst
employee works the full 8 hours, but the second takes a 2 hour break. The fIrst employee
paints 1 wall
in day. How many walls get painted by both employees each day? Assume
all walls are identical in area.
a) 2 wall
€
~
c) 1.5 walls
d) 4 walls
e)none of1he previous
CALCULUS PROBLEMS
5) What is the integral
J
1
(3x
_1)2
dx
1
a) 0
b) 8
01)
d) 6
e)none
6) What is area
unde~e
for f(x)= (3xl)(3x1) between the regions
ofl and
I?
a) 0
b)4
c)6
~
e) none
7) What is
maximum~ction
h(t)=3+lOt5f ?
a) 0
b) 1
c)
5
~
e)none
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f:
KJNEMATIC PROBLEMS, Ignore Air resistance
8) You wish to throw a basketball straight up to a rim at a height
of 3 meters from the
ground. Suppose you try to do this from your knees so the ball leaves your hands at a
height
of
1
m.
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 Fall '08
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