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a shopper pushes a cart 40.0m south down one aisle and then turns 90.0 degrees and moves 15.0m. He then makes another 90.0 degree turn and moves 20.0m. Find the shoppers total displacement. (there could be more than one correct answer)

Respuesta :

Answer:

Explanation:

The displacement is the distnce of the shopper from the starting point.

Sum of movement along the vertical = 40-20 = 20m

Movement along the horizontal (x direction) = 15.0m

Displacement will be gotten using the pythagoras theorem.

d = √20²+ 15²

d = √400+225

d = √625

d = 25.0m

Hence the shoppers total displacement is 25.0m

Displacement is the shortest distance between the initial and final points. The total displacement of the shopper is 25 m.

Displacement :

It is the difference between the initial and final point or the shortest distance between the initial and final point.

Given Here,

A shopper moves south = 40m

Shopper took a turn and move = 15 m

Shopper again take a  turn and move  = 20 m

So,

The movement of shopper in Y-axis = 40-20 = 20 m

The movement of shopper in X-axis = 15 m

The displacement can be found using the Pythagoras theorem,

[tex]\bold{ d = \sqrt{ 20^2+ 15^2}}\\\\\bold {d = \sqrt{ 400+225}}\\\\\bold {d = \sqrt{625}}\\\\\bold {d = 25.0m}[/tex]

Therefore, The total displacement of the shopper is 25 m.

To know more about displacement,

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