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Transcribed Image Text:Activity 1.3 - Graphs of One Dimensional Motion
1. Use the data for the cart in the One-Dimensional Motion activity 1.2 to make graphs of the x position vs.
time, x-velocity vs. time and x-acceleration vs. time. Draw a line through the data if it falls on a straight
line.
x (cm)
50
40
30
20
10
▼
x-position vs. time
t=1s
A
0
0 0.5 1 1.5 2 2.5 3
time (sec)
a. At what time is the x-position the
largest?
b. What is the x velocity at the time
when the x-position the largest?
c. What is the x-acceleration when the x-
velocity is zero?
d. What is the value of the slope of the x-velocity v
equation you use symbolically, then substitute i
your calculation. Label your answer.
x velocity (cm/s)
x acceleration (cm/s²)
60
40
20
-20
0
-40
-60
60
40
20
0
-20
-40
-60
0
x-velocity vs. time
0.5 1 1.5 2
time (sec)
0 0.5
x-acceleration vs. time
1
2.5
1.5 2 2.5
time (sec)
3
Transcribed Image Text:e. What quantity does the slope of the x-velocity versus time graph correspond to?
f. What quantity does the slope of the x-position vs. time graph correspond to?
g. If the x-acceleration is constant than the x-position vs. time is given by
1
x(t) = x₂ +₁+₁²
Here x, is the x-position at t = 0, is the x-velocity at t = 0 and is the constant x-acceleration.
Use the graphs on the previous page to identify x V and a for the cart. Write answers below
including units. Hint: Vaz is not 30 cm/s. Label your answers, i.e. x₂ =--
= -₁0₂ = ₂
h. Write an expression for the position as a function of time t for the motion of the cart by substituting
the correct numerical values (with units) for X Vazand a Start by writing your expression
symbolically before substituting in the appropriate values (with units) for the constant coefficients
Your final expression should be labeled, x(t) = ---, and should only have numerical values (with
units) and the variablet.
i.
Substitute t = 0.5 s into the expression you wrote above and check that it agrees with the value x at
t = 0.5 s on the x vs. t graph. Show the numbers you use in your calculation and check the units are
correct.
j. For constant x-acceleration, the x-velocity as a function of time is given by
v₂(t) = V₁z+at
Write an expression for the x-velocity as a function of time t for the cart by substituting the correct
numerical values (with units) for vand a Start by writing your expression symbolically before
substituting in the appropriate values (with units) for the constant coefficients. Your final expression
should be labeled, v. (t) = ., and only have numerical values (with units) and the variablet.
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