ANALYSIS II Data Set 2. Imagine the following experiment: A cart is initially at rest. A force pulls the cart through a given distance and gives it an amount of kinetic energy K. At the end of this distance, the force goes to zero and the cart travels with a constant speed. The resulting speed is measured. The data table on the next page shows the measured kinetic energies and the measured speeds. K, Jv, m/s 0.50 0.48 1.50 0.76 3.00 1.10 4.50 1.30 6.00 1.55 7.50 1.70

ANALYSIS II Data Set 2. Imagine the following experiment: A cart is initially at rest. A force pulls the cart through a given distance and gives it an amount of kinetic energy K. At the end of this distance, the force goes to zero and the cart travels with a constant speed. The resulting speed is measured. The data table on the next page shows the measured kinetic energies and the measured speeds. K, Jv, m/s 0.50 0.48 1.50 0.76 3.00 1.10 4.50 1.30 6.00 1.55 7.50 1.70

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.3: The Natural Exponential Function

Problem 44E

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Question

ANALYSIS II
Data Set 2. Imagine the following
experiment: A cart is initially at rest.
A force pulls the cart through a given distance and gives it an
amount of kinetic energy K. At the end of this distance, the
force goes to zero and the cart travels with a constant speed.
The resulting speed is measured. The data table on the next
page shows the measured kinetic energies and the measured
speeds.
K, Jv, m/s
0.50 0.48
1.50 0.76
3.00 1.10
4.50 1.30
6.00 1.55
7.50 1.70

Do a linear regression analysis of the data, report the
resulting slope and y-intercept with proper units, and write the
explicit function.
experimental value for mass m.
4.
From your results, determine an
Plot the regression function on the same graph as your
plotted data. How well does the function fit the data?
5
time, s|position, m|
0.20
9.83
0.60
9.52
1.00
8.12
1.40
6.30
1.80
4.05
2.20
1.19

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