Examples with solutions for Using the Pythagorean Theorem: Mathematical space and motion problems

Exercise #1

Daniela goes through the field of drawing

Its speed is constant and is at 4.7 km/h.

How long will it take Daniela to turn the terrain around?

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Video Solution

Answer

3.83 minutes

Exercise #2

Brothers Rodrigo and Hernán want to go home from school.

Rodrigo wants to go buy ice cream on the way,

while Hernán goes straight home

Hernan's speed is 3 km/h.

The speed of Rodrigo who is excited to buy the ice cream and therefore runs is 5.5 km/h.

The distances and distances given in the graph are

Who will get home first? What is the difference in times?

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Video Solution

Answer

Rodrigo 27.2 minutes

Exercise #3

Sergio rides up a ramp that reaches a height of 3 meters above the ground.

On the way up, Sergio travels at a speed of 2 meters per second.

On the way down, his speed is 6 meters per second.

How long will it take Sergio to travel over the ramp?

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Video Solution

Answer

4.64 seconds

Exercise #4

A mail delivery truck follows the route A-B-D-C-B... and so on.

The truck leaves point A at 9:00 and returns to where it started.

The distances between the given points are shown in the diagram.

The speed of the truck is 50 km/h.

When did the truck return to point A?

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Video Solution

Answer

12:54

Exercise #5

Given the slide of the graph

The length of the staircase 5 meters

Nicolas slides down the slide at a speed of 3 meters per second.

It takes 4 seconds to get from the top of the slide to the ground.

Does the slide and ladder form a right triangle with the ground?

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Video Solution

Answer

Yes, the hypotenuse is the ground.

Exercise #6

Julian walks in the snow and draws a boat on his path.

its speed 14 \frac{1}{4} meters per second

0 is the center of the circle, the hull of the boat is half of the circle.

Express using X the time it will take Julian to finish the drawing.

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Video Solution

Answer

192.48+6x+4x249 192.48+6x+4\sqrt{x^2-49} seconds