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Calculations are to be done to 5 significant places.
All work must be shown.
Draw
diagram when possible.
1.
A body with initial velocity 8.0 m/s moves along a straight line with constant
acceleration and travels 640 m in 40 s.
For 40 s interval, find a) the average
velocity, b) the final velocity, and c) the acceleration.
a) The average velocity is
640
16.000
16
/
40
x
m
v
m s
t
s
∆
=
=
=
=
b)
2
1
2
o
x
v t
at
∆ =
+
2
2
2
o
x
v t
a
t
∆ 
=
2
2
2
2
2
o
o
o
o
o
v
v
at
x
v t
v
v
t
t
x
v t
v
v
t
=
+
∆ 
=
+
⋅
∆ 
=
+
The final velocity is
2(640
)
2(8.0
/ )(40 )
(8.0
/ )
24.000
24
/
(40 )
m
m s
s
v
m s
m s
s

=
+
=
=
c) From part b) the acceleration is
2
2
2
o
d
v t
a
t

=
2
2
2(640
)
2(8.0
/ )(40 )
0.40000
0.40
/
(40 )
m
m s
s
a
m s
s

=
=
=
2.
A box slides down an incline with uniform acceleration.
It starts from rest and
attains a speed of 2.7 m/s in 3.0 s.
Find a) the acceleration, b) the distance moved
in the first 6.0 s.
a) The acceleration is
1
o
v
v
a
t

=
2
2.7
/
0
/
0.90000
0.90
/
3.0
m s
m s
a
m s
s

=
=
=
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View Full Document b) The distance traveled is
2
1
2
o
x
v t
at
∆ =
+
Since v
0
= 0, then
2
1
2
x
at
∆ =
2
2
1
(0.90
/
)(6.0 )
16.200
16.2
2
x
m s
s
m
∆ =
=
=
3.
An auto’s velocity increases uniformly from 6.0 m/s to 20 m/s while covering 70
m in a straight line.
Find the acceleration and the time taken.
2
1
2
o
x
v t
at
∆ =
+
(1)
o
v
v
at
=
+
(2)
From (2)
o
v
v
a
t

=
Substitute in (1):
2
1
2
1
(
)
2
1
(
)
2
o
o
o
o
o
v
v
x
v t
t
t
x
v t
v
v t
x
v
v t

∆ =
+
∆ =
+

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This note was uploaded on 03/16/2011 for the course PHYS 1 taught by Professor Landen during the Winter '11 term at Macomb Community College.
 Winter '11
 Landen
 Physics, Acceleration, Work

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