Mr. Mangan runs 50 m north in 5 seconds, 50 m east in 7 seconds, and50 m south in 3 seconds. What is his average speed? What is hisaverage velocity?

Respuesta :

Mr. Mangan goes first in the north a distance

[tex]d_1=50\text{ m}[/tex]

at time,

[tex]t_1=5\text{ s}[/tex]

then towards east ,

[tex]d_2=50\text{ m}[/tex]

in time,

[tex]t_2=7\text{ s}[/tex]

after that he goes towards south a distance,

[tex]d_3=50\text{ m}[/tex]

in time,

[tex]t_3=3\text{ s}[/tex]

the average speed is,

[tex]\begin{gathered} s=\frac{total\text{ distance }}{\text{total time}} \\ =\frac{50+50+50}{5+7+3} \\ =10\text{ m/s} \end{gathered}[/tex]

The average velocity is,

[tex]v=\frac{displacement}{\text{total time}}[/tex]

Here the displacement is,

[tex]d^{\prime}=50\text{ m}[/tex]

The average speed is,

[tex]\begin{gathered} v=\frac{50}{5+7+3} \\ =3.33\text{ m/s} \end{gathered}[/tex]

The average velocity is,

[tex]v=3.33\text{ m/s along east}[/tex]