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1.
An object falls from rest on a high tower and takes 5.0 s to hit the ground. Calculate the object’s
position from the top of the tower at 1.0 s intervals. Make a position-time graph for the object’s
motion. In your response, show what you are given, the equation that you used, any algebra required,
a table of data, and your graph.
g = 9.8 m/s2
Answer:
Given : Initial velocity = 0 m/s
Acceleration = 9.8 m/s2
Time= 5 sec with intervals of 1 sec
Required : distance at 0 to 5 sec
Used formula: d = vi * t + ½ ( a* t^2 )
Solution :
d = vi * t + ½ ( a* t^2 )
d = vi * t + ½ ( a* t^2 )
d = 0 (0) + ½ ( 9.8 m/s^2 * (0s)^2)
d = 0( 1) + ½ (9.8m/s^2 * (1s)^2)
d = ½ (0 m)
d = ½ (9.8m)
d=0m
d = 4.9 m
d = vi * t + ½ ( a* t^2 )
d = vi * t + ½ ( a* t^2 )
d = 0(2) + ½ ( 9.8 m/s^2 * (2s)^2)
d = 0(3) + ½ ( 9.8 m/s^2 * (3s)^2)
d = ½ (9.8 m * 4)
d = ½ ( 9.8 m *9)
d = 19.6 m
d = 44.1 m
d = vi * t + ½ ( a* t^2 )
d = vi * t + ½ ( a* t^2 )
d = 0(4) + ½ ( 9.8 m/s^2 * (4s)^2)
d = 0(5) + ½ (9.8m/s^2 *(5s)^2)
d = ½ ( 9.8 m * 16)
d = ½ (9.8 m * 25)
d = 78.4 m
d = 122.5
Time (s)
Position(m)
0
0
1
4.9
2
19.6
3
44.1
4
78.4
5
122.5
Score
(8 points)
2.
A car accelerates uniformly from +10.0 m/s to +40.0 m/s over a distance of 125 m. How long did
it take to go that distance? Show all your work, including the equation used, given and unknown
quantities, and any algebra required. Make sure your answer has the correct number of significant
figures.
Answer:
Quantities:
initial velocity = 10.0 m/s
final velocity = 40.0 m/s
distance = 125 m
time =?
Formula : d= ½ (vi + vf) * t
Score
2d/ (vi + vf) = (vi + vf)* t/ (vi + vf)
t = 2d / (vi + vf)
2×125
Solution: t = (10.0 m/ s+ 40.0 m/ s)
250m
(50m/
s)
t=
t = 5.0 sec
(7 points)
3.
A car speeds up from 10.0 m/s to 30.0 m/s in 3.0 s. What is its acceleration? In your response,
show your work, the given and unknown quantities, the equation and any necessary algebra. Express
your answer with the correct number of significant digits.
Answer:
quantities : initial velocity = 10 m/s
final velocity = 30 m/s
time = 3 sec
acceleration = ?
solution :
a=
(vf −vi)
time
Score
a=
(30.0 m/ s−10.0 m/ s)
3.0s
a =6.7 m / s
2
Your Score
___ of 25
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