maria 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. Monica gradually quickens her pace at a rate of 0.090 m/s2. a) What is Monica's speed after 10.0 s? b) At this speed, is Monica walking, jogging, or running very fast?
Im confused
v = 1.3 + 0.09*10
To find Monica's speed after 10.0 seconds, we can use the equation:
Velocity (v) = Initial velocity (u) + Acceleration (a) * Time (t)
Given:
Initial velocity (u) = 1.3 m/s
Acceleration (a) = 0.090 m/s^2
Time (t) = 10.0 s
a) To find Monica's speed after 10.0 seconds:
v = u + a * t
v = 1.3 m/s + 0.090 m/s^2 * 10.0 s
First, let's calculate the acceleration component:
a * t = 0.090 m/s^2 * 10.0 s
a * t = 0.90 m/s
Now, let's substitute this value back into the equation:
v = 1.3 m/s + 0.90 m/s
v = 2.2 m/s
So, Monica's speed after 10.0 seconds is 2.2 m/s.
b) To determine if Monica is walking, jogging, or running very fast, we can use the following general guidelines:
- Walking speed is typically considered to be around 1.4 to 1.8 m/s
- Jogging speed is typically considered to be around 2.0 to 2.6 m/s
- Running speed is typically considered to be above 2.6 m/s
Since Monica's speed after 10.0 seconds is 2.2 m/s, it falls within the jogging speed range. Therefore, Monica is jogging at this speed.
To find Monica's speed after 10.0 s, we can use the equation:
Final speed = Initial speed + (acceleration × time)
Let's start with part (a) and find Monica's speed after 10.0 s.
a) Initial speed of Monica is Maria's speed, which is 1.3 m/s.
Acceleration of Monica is given as 0.090 m/s^2.
Time is given as 10.0 s.
Using the formula, we have:
Final speed = 1.3 m/s + (0.090 m/s^2 × 10.0 s)
Final speed = 1.3 m/s + 0.9 m/s
Final speed = 2.2 m/s
Therefore, Monica's speed after 10.0 seconds is 2.2 m/s.
Now let's move on to part (b) and determine if Monica is walking, jogging, or running very fast.
The terms "walking," "jogging," or "running" are subjective and can vary for different individuals. However, we can make a general estimation based on average speeds.
According to average walking speeds, it usually ranges from 1.4 m/s to 1.6 m/s.
Jogging speeds generally range from 2.5 m/s to 3.5 m/s.
Running speeds typically exceed 3.5 m/s.
Since Monica's speed is measured at 2.2 m/s, it falls within the walking or jogging range. However, since her speed is closer to 2.5 m/s (jogging speed) than 1.5 m/s (walking speed), we can conclude that Monica is jogging at a moderate pace.
Therefore, Monica is jogging at this speed.