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 att 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 1 00 1.50 2.00 230 3.00 550 4.00 .00 -5.0 -10.0 F1g. 2 -15.0

College Physics
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Chapter2: Motion In One Dimension
Section: Chapter Questions
Problem 18P: A race car moves such that, its position fits the relationship x = (5.0 m/s)t + (0.75 m/s3)t3 where...
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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.
m/5)
15.0
10.0
5.0
0.50
100
1.50
2.00
230
3.00
350
4.50
3.00
-5.0
-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. m/5) 15.0 10.0 5.0 0.50 100 1.50 2.00 230 3.00 350 4.50 3.00 -5.0 -10.0 F1g 2 -15.0
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