my Physics teacher gave us data to graph on excel, he said he wanted acceleration and velocity graphs, but I cant figure out how to get the velocity graphs D:
the data was based on dropping different sorts of balls a certain amount of centimeters to see how long it took to reach the floor; here is one set of the data:
Steel Ball
small m=16g
x/cm t/s
0 0
15 0.1799
30 0.2504
45 0.3018
60 0.3472
75 0.3963
90 0.4319
110 0.4753
120 0.4966
130 0.52
140 0.5323
150 0.5562
I graphed this on excel, and i put that it show the equation on the graph, and the equation is: y = 488.68x2 - 1.1934x
and he said to multiply the first number by 2 in order to get the acceleration, so for acceleration i have 977.36; PLEASE HELP W/ THE VELOCITY!!!!!!!!!!
the data was based on dropping different sorts of balls a certain amount of centimeters to see how long it took to reach the floor; here is one set of the data:
Steel Ball
small m=16g
x/cm t/s
0 0
15 0.1799
30 0.2504
45 0.3018
60 0.3472
75 0.3963
90 0.4319
110 0.4753
120 0.4966
130 0.52
140 0.5323
150 0.5562
I graphed this on excel, and i put that it show the equation on the graph, and the equation is: y = 488.68x2 - 1.1934x
and he said to multiply the first number by 2 in order to get the acceleration, so for acceleration i have 977.36; PLEASE HELP W/ THE VELOCITY!!!!!!!!!!
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The velocity is the distance divided by the time. For instance the distance traveled between the third and the fourth line is 45-30 = 15 cm. The time between the two is 0.3018-0.2501 = 0.0517 s. Divide this distance by this time and you have the speed in the interval. Do this for all intervals.
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1) you have not given the units time seconds, hours, years?
distance cm, feet miles?
there are two ideas about velocity
1) average velocity = total distance / total time
2) instant or short term Velocity( final position- initial position)/ (final time- initial time)
acceleration is change in velocity / change in the time for the change in velocity
constant Velocity is an easy idea Distance = speed * time and the speed is constant
therefore distance compared to time graph is a straight line
falling objects are NOT constant velocity
that was the big Discovery by Galileo and explained by Newton in the 1600s
it is the basis for all our modern physical science
the math equation for distance compared to time for constant acceleration is:
d = 1/2aT^2 + VoT + Do
that is the result of calculus but is not quite real life due to factors like air friction
distance cm, feet miles?
there are two ideas about velocity
1) average velocity = total distance / total time
2) instant or short term Velocity( final position- initial position)/ (final time- initial time)
acceleration is change in velocity / change in the time for the change in velocity
constant Velocity is an easy idea Distance = speed * time and the speed is constant
therefore distance compared to time graph is a straight line
falling objects are NOT constant velocity
that was the big Discovery by Galileo and explained by Newton in the 1600s
it is the basis for all our modern physical science
the math equation for distance compared to time for constant acceleration is:
d = 1/2aT^2 + VoT + Do
that is the result of calculus but is not quite real life due to factors like air friction