QUESTION IMAGE
Question
position vs. time graphs
the following questions refer to the position vs. time graph below.
- when did the person begin moving?
a. 0 sec
b. 1 sec
c. 2 sec
d. 9 sec
- for how long does the person move away from their original position?
a. 1 sec
b. 2 sec
c. 3 sec
d. 4 sec
- after the person starts moving, they stop for a little bit. how long do they stop?
a. 1 sec
b. 2 sec
c. 3 sec
d. 8 sec
- what is the total amount of time that this person is moving?
a. 2 sec
b. 4 sec
c. 6 sec
d. 8 sec
e. 10 sec
- what is the persons speed between 1 and 4 seconds?
a. 1 m/s
b. 2 m/s
c. 3 m/s
d. 1.5 m/s
study the quizizz/blookets/gimkits and ck-12 assignments that are on google
classroom as well as all of your calculation problems. i will be pulling questions from all
of these for your test.
30.
Step1: Analyze the graph
A person starts moving when the position - time graph has a non - zero slope. At \(t = 1\) sec, the slope of the graph becomes non - zero (before \(t = 1\) sec, the position is \(0\) and there is no change).
31.
Step1: Determine the time interval of moving away
The person moves away from the original position (where position \(x = 0\)) when the slope of the position - time graph is positive. The time interval for positive slope is from \(t = 1\) sec to \(t=4\) sec. The duration is \(4 - 1=3\) sec.
32.
Step1: Identify the time of zero slope (after starting)
After starting (after \(t = 1\) sec), the graph has a zero slope (horizontal line) from \(t = 4\) sec to \(t = 6\) sec. The duration is \(6 - 4 = 2\) sec.
33.
Step1: Calculate the total moving time
The moving time is the sum of the time intervals with non - zero slope. The intervals are \(1 - 4\) sec (\(3\) sec) and \(6 - 9\) sec (\(3\) sec). Total moving time \(3+3 = 6\) sec.
34.
Step1: Use the speed formula \(v=\frac{\Delta x}{\Delta t}\)
Between \(t = 1\) sec and \(t = 4\) sec, \(\Delta x=6 - 0=6\) m and \(\Delta t=4 - 1 = 3\) sec. Then \(v=\frac{6}{3}=2\) m/s.
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- b. 1 sec
- c. 3 sec
- b. 2 sec
- c. 6 sec
- b. 2 m/s