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A football coach walks 18 meters westward, then 12 meters

eastward, then 28 meters westward, and finally 14 meters

eastward.

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Le

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User TNA
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1 Answer

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Complete Question

A football coach walks 18 meters westward, then 12 meters eastward, then 28 meters westward, and finally 14 meters eastward.

a

From this motion what is the distance covered

b

What is the magnitude and direction of the displacement

Answer:

a


D =   72 \  m

b

Magnitude


d =  - 20 \ m

Direction

West

Step-by-step explanation:

From the question we are told that

The first distance covered westward is
d_w_1 = 18 \ m /tex]</p><p> The first distance covered eastward is [tex]d_e1 = 12 \ m /tex]</p><p> The second distance covered westward is [tex]d_w_2 = 28 \ m /tex]</p><p> The second distance covered eastward is [tex]d_e2 = 14 \ m /tex]</p><p> </p><p>Generally the distance covered is mathematically represented as </p><p> [tex]D = d_w1 + d_w2 + d_e1 + d_e2

=>
D = 18 + 28 + 12 + 14

=>
D = 72 \ m

For the second question eastward is in the direction of the positive x-axis so it would be positive and westward is in the direction of the negative x-axis so it would be negative

The magnitude of the displacement is


d = -d_w1 -d_w2 + d_e1 + d_e2

=>
d = &nbsp;-18-28 + 12 + 14

=>
d = - 20 \ m

The direction is west

User Jamie Cockburn
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