The total distance travelled = 35 m and average velocity = 0.55 [tex]m/s^{2}[/tex]
We have a man who walked 30 m to the west than 5 m to the east in 45 seconds.
We have to find out his total distance walked and his average velocity?
Define Average velocity of a body?
The average velocity is defined as the rate of change of displacement per unit time.
[tex]v_{avg} = \frac{x_{2} -x_{1} }{t_{2} -t_{1} }[/tex]
According to the question -
A). The total distance travelled will be equal to = [tex]X_{W} +X_{E}[/tex] = 30 + 5 = 35m
Since, the distance travelled is a scalar quantity, we have used simple addition method.
B). In order to calculate the average velocity, first we will calculate the displacement -
Consider the direction to the west as the + x axis, then -
displacement = [tex]30\overrightarrow{a_{x} } - 5\overrightarrow{a_{x} } = 25\overrightarrow{a_{x} }[/tex]
Magnitude of displacement = 25 x | [tex]\overrightarrow{a_{x} }[/tex]| = 25 x 1 = 25 m
[tex]v_{avg} = \frac{25}{45 } = 0.55[/tex] [tex]m/s^{2}[/tex]
Hence, the total distance travelled = 35 m and average velocity = 0.55[tex]m/s^{2}[/tex]
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