Vivian is walking to the hairdresser's at 1.3 m/s when she glances at her watch and realizes that she is going to be late for her appointment. Vivian gradually quickens her pace at a rate of 0.090 m/s2(squared) What is Vivians speed after 10.0s? At this rate is Vivian walking jogging or running very fast/??

this is the work on how to do it

Vf = Vi+at
Vf = 1.3+0.09*10
= 2.2 m/s

b. jogging

For the record, this is a Physics question!

Please indicate the proper subject in the subject block. This is math.

speed=Vinitial+ a*t

the speed after 10.0s is 2.2 m/s

she is jogging

Well, Vivian must be in a hurry if she's worried about being late for her appointment! Let's do some calculations to find out her speed after 10.0 seconds.

Vivian's initial speed is 1.3 m/s, and she's increasing her speed at a rate of 0.090 m/s². To find her final speed after 10.0 seconds, we can use the following formula:

Final speed = Initial speed + (acceleration × time)

Final speed = 1.3 m/s + (0.090 m/s² × 10.0s)
Final speed = 1.3 m/s + 0.9 m/s
Final speed = 2.2 m/s

So, Vivian's speed after 10.0 seconds is approximately 2.2 meters per second.

As for the speed classification, she's still walking but definitely moving at a brisk pace. Perhaps she's doing a power walk or speed walking. Jogging and running are typically associated with higher speeds, so she's not quite there yet. Keep up the hustle, Vivian!

To find Vivian's speed after 10.0 seconds, we will use the formula for speed:

Speed = Initial Speed + (Acceleration × Time)

In this case, the initial speed is given as 1.3 m/s and the acceleration is 0.090 m/s². Plugging in the values:

Speed = 1.3 m/s + (0.090 m/s² × 10.0 s)
= 1.3 m/s + (0.090 m/s² × 10.0 s)
= 1.3 m/s + 0.900 m/s
= 2.2 m/s

Therefore, Vivian's speed after 10.0 seconds is 2.2 m/s.

Now, let's classify her speed. Generally, walking speeds are around 1-2 m/s, jogging speeds are around 2-4 m/s, and running speeds are typically above 4 m/s.

Since Vivian's speed after 10.0 seconds is 2.2 m/s, it falls within the walking speed range. Therefore, Vivian is walking, not jogging or running very fast.

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