Answer & Explanation:Use one of your three data tables to answer the
questions.
Inclination = 2°(9 points)
1. Compare the slope of the distance vs. time graph to
the average of all your velocity values. Are they close? Why or why not? What
does the slope of a distance (or displacement) vs. time graph mean? Explain the
answer using your data and include your Distance vs. Time graph and a chart of
distance, time, and average velocity.
Answer:
The slope of the distance vs. time graph is 0.46 and
the average of all of the averages is 0.50. Those two values are close. The
slope of a time vs. distance formula indicates the average velocity of the
ball. The slope formula (y2 – y1)/(x2 – x1)
is pretty much same as calculating change in displacement (y2 – y1)
over change of time (x2 – x1) and this gives the average
velocity. Those two values are close because the trend line indicates how the
data points will continue to be and since it is drawn properly it gives an idea
of what the velocity the ball will continue to move in.
Distance (m)
Average time (s)
Velocity (m/s)
0.5
0.89
0.56
1
2.01
0.5o
1.5
3.11
0.48
2
4.19
0.48
Average of the
velocities : 0.50 m/s
DISTANCE VS TIME GRAPH CHANGE LAYOUT(9 points)
2. Describe the line on the velocity-time graph. What was
the slope of the velocity vs. time graph? What does the slope of a velocity vs.
time graph represent? Explain the answer using your data. In doing so, compare
and contrast speed and velocity. Include your velocity-time graph in your
answer.
Answer:
The line on the velocity-time graph was a curved one
since the velocity was decreasing as time increased. The slope has a negative
value of -0.03. This slope represents the average acceleration of the ball. The
slope was negative because the ball was decelerating and coming down to a stop
as it approached the to 2m mark.
Velocity and speed are different because speed is just a scalar quantity while
velocity is a vector quantity that has magnitude and direction.
TIME VS VELOCITY GRAPH CHANGE LAYOUT (7 points)
3. Was the ball moving with uniform motion or did you
notice some deceleration or acceleration? From what you have observed, explain
what it means for an object to move with uniform motion. How does uniform
motion relate to velocity and acceleration?
Answer:
The ball wasn’t moving with a uniform motion. The
calculated average velocity as well the the velocity time graph indicated that
the ball was decelerating. For an object to move in a uniform motion it has to
have either a constant velocity or a constant acceleration. If the object has a
constant velocity then it is moving at zero acceleration and this means moving
with out slowing down or speeding up. The object can also be said to have
uniform motion if it accelerating at a constant rate. This means the velocity
of the object changes by a constant number through out the journey. If the
object is to continue moving with a uniform motion then the acceleration must
not increase or decrease outside that constant rate.
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