Mech Velocity HW-4 2. Below is a position versus time graph of the motion of an object that has varying velocity. We will analyze this graph in detail around t = 2 s and x = 2 cm. a. In the interval from t=0 s to t = 6 s, does the object move with nearly constant velocity or with definitely varying velocity? Explain. 1 Table of x and t values between t = 1.5 s and t=2.5 s (to be plotted on graph at right) x (cm) t(s) 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 3.25 2.96 2.69 2.44 2.21 2.00 1.81 1.64 1.49 Position (centimeters) 1.36 1.25 Position (centimeters) 10 8 3.4 3.2 3.0 2.8 2.6 2.4 2.2 2.0 1.8 1.6 1.4 1.2 6 4 2 b. In the small box on the graph above is a portion of the graph that corresponds to the motion from t= 1.5 s to t=2.5 s.. Graph of position versus time for object moving along straight-line path The position and time coordinates for points in this small interval are given in the following table. Plot these points on the graph below to obtain an expanded view of this small interval. 1 1.4 2 3 4 Time (seconds) 1.6 Expanded graph of position versus time for object moving along straight-line path 5 H 1.8 2.0 Time (seconds) 2.2 6 24 2.6

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Mech Velocity
HW-4
2. Below is a position versus time graph of the motion of an object that has varying velocity. We
will analyze this graph in detail around t = 2 s and x = 2 cm.
a. In the interval from t=0 s to
t = 6 s, does the object move with
nearly constant velocity or with
definitely varying velocity?
Explain.
1
Table of x and t
values between
t = 1.5 s and t=2.5 s
(to be plotted on
graph at right)
x (cm)
t(s)
1.5
1.6
1.7
1.8
1.9
2.0
2.1
2.2
2.3
2.4
2.5
3.25
2.96
2.69
2.44
2.21
2.00
1.81
1.64
1.49
Position (centimeters)
1.36
1.25
Position (centimeters)
10
8
3.4
3.2
3.0
2.8
2.6
2.4
2.2
2.0
1.8
1.6
1.4
1.2
6
4
2
b. In the small box on the graph above is a portion of the graph that corresponds to the motion
from t= 1.5 s to t=2.5 s..
Graph of position versus time
for object moving along straight-line path
The position and time coordinates for points in this small interval are given in the following
table. Plot these points on the graph below to obtain an expanded view of this small interval.
1
1.4
2
3 4
Time (seconds)
1.6
Expanded graph of position versus time
for object moving along straight-line path
5
H
1.8 2.0
Time (seconds)
2.2
6
24 2.6
Transcribed Image Text:Mech Velocity HW-4 2. Below is a position versus time graph of the motion of an object that has varying velocity. We will analyze this graph in detail around t = 2 s and x = 2 cm. a. In the interval from t=0 s to t = 6 s, does the object move with nearly constant velocity or with definitely varying velocity? Explain. 1 Table of x and t values between t = 1.5 s and t=2.5 s (to be plotted on graph at right) x (cm) t(s) 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 3.25 2.96 2.69 2.44 2.21 2.00 1.81 1.64 1.49 Position (centimeters) 1.36 1.25 Position (centimeters) 10 8 3.4 3.2 3.0 2.8 2.6 2.4 2.2 2.0 1.8 1.6 1.4 1.2 6 4 2 b. In the small box on the graph above is a portion of the graph that corresponds to the motion from t= 1.5 s to t=2.5 s.. Graph of position versus time for object moving along straight-line path The position and time coordinates for points in this small interval are given in the following table. Plot these points on the graph below to obtain an expanded view of this small interval. 1 1.4 2 3 4 Time (seconds) 1.6 Expanded graph of position versus time for object moving along straight-line path 5 H 1.8 2.0 Time (seconds) 2.2 6 24 2.6
Expert Solution
Step 1

To analyze the motion of a body from the position-time graph.

Given:
The graph:
Physics homework question answer, step 1, image 1
The data:
Physics homework question answer, step 1, image 2

To obtain:
(a) Whether the object moves with constant velocity or with definitely varying velocity.
(b) To plot the graph for t=1.5 s to t=2.5 s

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