Use one of your three data tables to answer thequestions.
Inclination = 2°
(9 points)
1. Compare the slope of the distance vs. time graph tothe average of all your velocity values. Are they close? Why or why not? Whatdoes the slope of a distance (or displacement) vs. time graph mean? Explain theanswer using your data and include your Distance vs. Time graph and a chart ofdistance, time, and average velocity.
Answer:
The slope of the distance vs. time graph is 0.46 andthe average of all of the averages is 0.50. Those two values are close. Theslope of a time vs. distance formula indicates the average velocity of theball. 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 averagevelocity. Those two values are close because the trend line indicates how thedata points will continue to be and since it is drawn properly it gives an ideaof 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 thevelocities : 0.50 m/s
DISTANCE VS TIME GRAPH CHANGE LAYOUT
(9 points)
2. Describe the line on the velocity-time graph. What wasthe 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, compareand contrast speed and velocity. Include your velocity-time graph in youranswer.
Answer:
The line on the velocity-time graph was a curved onesince the velocity was decreasing as time increased. The slope has a negativevalue of -0.03. This slope represents the average acceleration of the ball. Theslope was negative because the ball was decelerating and coming down to a stopas it approached the to 2m mark.Velocity and speed are different because speed is just a scalar quantity whilevelocity 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 younotice some deceleration or acceleration? From what you have observed, explainwhat it means for an object to move with uniform motion. How does uniformmotion relate to velocity and acceleration?
Answer:
The ball wasn’t moving with a uniform motion. Thecalculated average velocity as well the the velocity time graph indicated thatthe ball was decelerating. For an object to move in a uniform motion it has tohave either a constant velocity or a constant acceleration. If the object has aconstant velocity then it is moving at zero acceleration and this means movingwith out slowing down or speeding up. The object can also be said to haveuniform motion if it accelerating at a constant rate. This means the velocityof the object changes by a constant number through out the journey. If theobject is to continue moving with a uniform motion then the acceleration mustnot increase or decrease outside that constant rate.
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