Figure 2 below shows the velocity of a particle as a function of time. (a) Find the acceleration for the five one-second periods and plot the acceleration as a function of time. (b) Taking x = 0 at t = 0, find the position of the particle at t 0.5 s, t = 1.0 s, t = 2.0 s, t 3.0 s, t = 4.0 s, and t = 5.0 s and plot the position as a function of time. Look at the slopes of your x vs t curve for the five one-second periods and show that they correspond to the velocities of Fig. 2. 15.0 10.0 5.0 0.50 100 Z00 230 3.00 50 1.50 4.50 3.00 -5.0t -10.0 Fig 2 -15.0t

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Chapter1: Units, Trigonometry. And Vectors
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9. Figure 2 below shows the velocity of a particle as a function of time. (a) Find the
acceleration for the five one-second periods and plot the acceleration as a function
of time. (b) Taking x = 0 at t = 0, find the position of the particle at t 0.5 s, t =
1.0 s, t = 2.0 s, t 3.0 s, t = 4.0 s, and t = 5.0 s and plot the position as a
function of time. Look at the slopes of your x vs t curve for the five one-second
periods and show that they correspond to the velocities of Fig. 2.
15.0-
10.0-
5.0
0.00
100
1.50
2.00
2.30
8.00
350
4.50
3.00
-5.0t
-10.0
F1g. 2
-15.0
Transcribed Image Text:9. Figure 2 below shows the velocity of a particle as a function of time. (a) Find the acceleration for the five one-second periods and plot the acceleration as a function of time. (b) Taking x = 0 at t = 0, find the position of the particle at t 0.5 s, t = 1.0 s, t = 2.0 s, t 3.0 s, t = 4.0 s, and t = 5.0 s and plot the position as a function of time. Look at the slopes of your x vs t curve for the five one-second periods and show that they correspond to the velocities of Fig. 2. 15.0- 10.0- 5.0 0.00 100 1.50 2.00 2.30 8.00 350 4.50 3.00 -5.0t -10.0 F1g. 2 -15.0
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