2. The graph shows the x-velocity of a very slow industrial robot as a function of time. a. What is the x-acceleration at t = 5 s? b. What is the x-acceleration at t = 20 s? c. What is the x-acceleration at t = 27 s? That is (/) % 60 40 20 0 -20 -40 0 10 5 x-velocity vs. time 10 15 20 25 30 time (sec) d. During the first interval from 0 to 10 s, the acceleration is constant, and we know that x = x₂ + Vox At+ax(At)² while vx = Vox + axt. Here x, and vox are the x-position and x-velocity at the beginning of the constant acceleration interval and At is the time from the beginning of the constant acceleration interval. i. Write an expression for the x-position as a function of time t for the first interval, i.e., for 0 < t < 10 s. Your expression should only contain the variablet and the correct values (with units) of the constants xo. Vox, and a. Assume x = 0 at t = 0.

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11th Edition
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Chapter1: Units, Trigonometry. And Vectors
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2. The graph shows the x-velocity of a very
slow industrial robot as a function of time.
a. What is the x-acceleration at t = 5 s?
b. What is the x-acceleration at t = 20 s?
c. That is
c.
What is the x-acceleration at t = 27 s?
Vx (cm/s)
60
40
20
0
-20
-40
0
x-velocity vs. time
5 10 15 20 25 30
time (sec)
d. During the first interval from 0 to 10 s, the acceleration is constant, and we know that x = x +
VoxAt + ax(At)² while vx = Vox + ax^t. Here x, and vox are the x-position and x-velocity
at the beginning of the constant acceleration interval and At is the time from the beginning of the
constant acceleration interval.
i. Write an expression for the x-position as a function of time t for the first interval, i.e., for
0 < t < 10 s. Your expression should only contain the variablet and the correct values
(with units) of the constants xo, Vox, and a. Assume x = 0 at t = 0.
Transcribed Image Text:2. The graph shows the x-velocity of a very slow industrial robot as a function of time. a. What is the x-acceleration at t = 5 s? b. What is the x-acceleration at t = 20 s? c. That is c. What is the x-acceleration at t = 27 s? Vx (cm/s) 60 40 20 0 -20 -40 0 x-velocity vs. time 5 10 15 20 25 30 time (sec) d. During the first interval from 0 to 10 s, the acceleration is constant, and we know that x = x + VoxAt + ax(At)² while vx = Vox + ax^t. Here x, and vox are the x-position and x-velocity at the beginning of the constant acceleration interval and At is the time from the beginning of the constant acceleration interval. i. Write an expression for the x-position as a function of time t for the first interval, i.e., for 0 < t < 10 s. Your expression should only contain the variablet and the correct values (with units) of the constants xo, Vox, and a. Assume x = 0 at t = 0.
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