4. The following data is from a lab cart being accelerated by a falling mass. t(s) d (m) || t(s) d (m) 0.0 1.740 2.135 2.552 3.016 0.000 0.6 0.7 0.1 0.214 0.2 0.462 0.8 0.3 0.4 0.5 0.9 0.734 1.042 1.381 1.0 3.505 4.009 1.1 (a) Plot a d-t graph. Using the d-t graph, determine the speed of the cart at 0.2 and 0.6 s. Show your work on the graph. (b) By rearranging d= vit +at2, we get -at. tVi+ Knowing that a straight line is of the form y = mx + b and comparing with the above equation, we can see that plotting against t gives us a straight line graph. i. For all values (except t = 0, obviously) calculate and plot it against t. ii. Using the graph, determine vo (the speed of the cart at t = 0). Compare the rear- ranged equation above to the equation of a straight line to determine what the values of m and b represent! iii. Using the slope, determine the acceleration of the cart.

4. The following data is from a lab cart being accelerated by a falling mass. t(s) d (m) || t(s) d (m) 0.0 1.740 2.135 2.552 3.016 0.000 0.6 0.7 0.1 0.214 0.2 0.462 0.8 0.3 0.4 0.5 0.9 0.734 1.042 1.381 1.0 3.505 4.009 1.1 (a) Plot a d-t graph. Using the d-t graph, determine the speed of the cart at 0.2 and 0.6 s. Show your work on the graph. (b) By rearranging d= vit +at2, we get -at. tVi+ Knowing that a straight line is of the form y = mx + b and comparing with the above equation, we can see that plotting against t gives us a straight line graph. i. For all values (except t = 0, obviously) calculate and plot it against t. ii. Using the graph, determine vo (the speed of the cart at t = 0). Compare the rear- ranged equation above to the equation of a straight line to determine what the values of m and b represent! iii. Using the slope, determine the acceleration of the cart.

Name: 4. The following data is from a lab cart being accelerated by a falli
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Description: 4. The following data is from a lab cart being accelerated by a falling mass.t(s) d (m) || t(s)d (m)0.000 || 0.60.2140.70.4620.80.90.7341.7400.00.10.22.1352.5523.0163.5054.0090.30.40.51.0421.3811.01.1(a) Plot a d-t graph. Using the d-t graph, determ

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Newton's Second Law

Newton’s laws of motion describe the relationship between the motion of an object and forces acting on it. Newton’s law of motion has two types as follows:

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4. The following data is from a lab cart being accelerated by a falling mass.
t(s) d (m) || t(s)
d (m)
0.000 || 0.6
0.214
0.7
0.462
0.8
0.9
0.734
1.740
0.0
0.1
0.2
2.135
2.552
3.016
3.505
4.009
0.3
0.4
0.5
1.042
1.381
1.0
1.1
(a) Plot a d-t graph. Using the d-t graph, determine the speed of the cart at 0.2 and 0.6 s.
Show your work on the graph.
(b) By rearranging d = vit +at2, we get
d.
1
= Vi+ 5at.
Knowing that a straight line is of the form y = mx + b and comparing with the above
equation, we can see that plotting
against t gives us a straight line graph.
d.
and plot it against t.
i. For all values (except t = 0, obviously) calculate
ii. Using the graph, determine vo (the speed of the cart at t = 0). Compare the rear-
ranged equation above to the equation of a straight line to determine what the values
of m and b represent!
iii. Using the slope, determine the acceleration of the cart.

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