What is the particle\'s acceleration value at time 7.5 s ? Express your answer u
ID: 1652743 • Letter: W
Question
What is the particle's acceleration value at time 7.5 s ?
Express your answer using three significant figures in meters per second per second.
Hints
=
What is the total distance x traveled by the particle during the 20s of its motion?
Express your answer in meters.
Hints
Part D
What is the instantaneous acceleration a of the particle at t = 10 s ?
Now that you have reviewed how to plot variables as a function of time, you can use the same technique and draw an acceleration vs. time graph, that is, the graph of (instantaneous) acceleration as a function of time. As usual in these types of graphs, time is plotted on the horizontal axis, while the vertical axis is used to indicate acceleration.
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m/s2 v.(m/s) 4 8 12 1620 t(s)Explanation / Answer
1) a = dx / dt = slope of the line
a = -(6-1) / 8 = -0.625 m/s^2
2) distance covered = area under curve
x = 0.5*8*6 + (14-8)*1 + 0.5*(20-14)*7
x = 24 + 6 + 21
x = 51 m
3) at t = 10
a instantaneous is Zero because velocity is constant.
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