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You walk forward 10 meters, backwards 5 meters, and then 10 meters forwards in 15 seconds. What is your overall velocity FORWARDS in m/s?

Answer :

Answer:

Overall velocity of a person is 1.66 [tex]\frac{m}{s}[/tex]

Explanation:

Let the forward displacement of the person is taken as positive and backward displacement is taken as negative.

You walk forward 10 meters,

displacement = [tex]x_{1}[/tex] = 10 meter

You walk backward 5 meters,

displacement = [tex]x_{2}[/tex] = -5 meter

You walk forward 10 meters,

displacement = [tex]x_{3}[/tex] = 10 meter

Total displacement = s = [tex]x_{1} + x_{2} +  x_{3}[/tex]

s = 15 -5 +15

s = 25 meter

Total time taken is given by,

t = 15 second

Overall velocity is the average velocity of a person and it is given by,

Average velocity = [tex]\frac{Total displacement}{Total time}[/tex]

Average velocity = [tex]\frac{25}{15}[/tex]

Average velocity = 1.66 [tex]\frac{m}{s}[/tex]

Thus, overall velocity of a person is 1.66 [tex]\frac{m}{s}[/tex]


Answer:

The overall velocity is 1 m/s .

Explanation:

Given that,

He walk forward 10 meter, 5 m backward and then 10 m forward.

Time = 15 sec

We need to calculate the total distance

[tex]D = 10+10-5=15\ m[/tex]

We need to average velocity

Using formula of average velocity

[tex]v = \dfrac{D}{T}[/tex]

Where, D = total distance

T = total time

Put the value into the formula

[tex]v=\dfrac{15}{15}[/tex]

[tex]v = 1 m/s[/tex]

Hence, The overall velocity is 1 m/s .

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