Problem Assignment For Chapter 1
1.
One of the equations that we will introduce during our study of
kinematics (the description of motion) is,
v2
=
vo2
+2ax where
x is the distance in meters, v is the speed in m/s, a is the
acceleration in
/
m s2
, and t is the time in seconds. Based on
this information, is the following equation also possible: x = (v
+ ½ a) t Why or why not?
Answer: No, because the two equations are not equal to each other.
Equation one is
v2
=
vo2
+ 2ax. Equation two is x = (v + ½ a)t. When
combining equation 2 with equation 1 equation one comes out
differently.
Work:
Equation 1 and 2 combined….
v2
=
vo2
+ 2a(v + ½ a)t
The result of this….
v2
=
vo2
+ 2avt +
a2t
You get a different equation. Also, with equation 2, x = (v + ½ a)t,
there’s no way to solve the problem to get to ‘
v2
’ like in the first
equation,
v2
=
vo2
+ 2ax.
2.
If you measured length in centimeters, what would be the units
for area?
Answer:
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 Summer '09
 BACON
 Energy, Orders of magnitude, 5 m, 5m, 0.00269

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