vivian is walking to the hairdresser's at 1.3 m/s when she glances at her watch and relizes that she is going to be late for her appointment. Vivian gradually quikens 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/??
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please explain what m/s2(squared) means.. the squared part confuses me even more!!
The squared business means Vivian is walking at 1.3 m/s. When she quickens her pace, the next second she is walking at 1.3 + 0.09 m/s and the next second at 1.3 + 0.09 + 0.09 m/s etc. The m/s^s is read meters per second squared OR you can think of it as meters per second per second. Sp at the end of 10 seconds, Vivian is walking at ???.
To find Vivian's speed after 10.0 seconds, we can use the equation of motion:
v = u + at
Where:
v = final velocity (unknown)
u = initial velocity = 1.3 m/s
a = acceleration = 0.090 m/s²
t = time = 10.0 s
Substituting the given values into the equation:
v = 1.3 + (0.090)(10.0)
v = 1.3 + 0.900
v = 2.2 m/s
Therefore, Vivian's speed after 10.0 seconds is 2.2 m/s.
The term "m/s²" represents meters per second squared and it is a unit of acceleration. Acceleration is the rate at which an object's velocity changes over time. In other words, it measures how quickly an object's speed is changing. The squared part indicates that the units are being squared, meaning that the unit of acceleration is multiplied by itself.
As for whether Vivian is walking, jogging, or running very fast, it depends on the context and individual interpretation. However, given that Vivian's speed is 2.2 m/s after quickening her pace, it would generally be considered a brisk walk or a light jog.
To find Vivian's speed after 10.0 seconds, we can use the equation of motion:
Final speed = Initial speed + (Acceleration x Time)
We know that Vivian's initial speed is 1.3 m/s and her acceleration is 0.090 m/s^2. Plugging in these values into the equation, we get:
Final speed = 1.3 m/s + (0.090 m/s^2 x 10.0 s)
Calculating this, we have:
Final speed = 1.3 m/s + 0.9 m/s
Final speed = 2.2 m/s
Therefore, Vivian's speed after 10.0 seconds is 2.2 m/s.
Now, let's explain what m/s^2 (squared) means. The unit m/s^2 is the unit of acceleration, which represents the change in velocity per second. When we say "per second", it means that the change is happening over a duration of one second.
The squared symbol (^2) means that the quantity is being multiplied by itself. In this case, it indicates that the acceleration is applied continuously over time. Think of it as acceleration acting upon an object for each second, causing the object's velocity to change at an increasing rate.
So, in the case of Vivian's situation, an acceleration of 0.090 m/s^2 means that her velocity is increasing by 0.090 meters per second every second. This means she is getting faster by 0.090 m/s every second she walks.
As for whether Vivian is walking, jogging, running, or walking very fast, it is subjective and depends on the individual's perception. However, based on her increasing speed, we can infer that she is walking faster than her initial pace but not necessarily jogging or running.