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Tanya [424]
3 years ago
11

Joe travels at a constant speed of 80 miles per hour for ten hours. How many miles will he travel in ten

Mathematics
1 answer:
ratelena [41]3 years ago
3 0

Answer:

1287.48 km

Step-by-step explanation:

80 miles = 128.748 km

  • Distance = Speed x Time

Putting in 'x' for distance

x = 80*10  

x = 800 miles

or

x = 1287.48 km

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A boat sails 285 miles south and then 132 miles west. What is the magnitude of the boats resultant vector?
Delicious77 [7]

The magnitude of the boats resultant vector is 314.1 mi

<h3>What is a vector?</h3>

A vector is a physical quantity that has both magnitude and direction.

<h3>What is a resultant vector?</h3>

A resultant vector is the sum of two or more vectors.

<h3>How to find the boats resultant vector?</h3>

Since the boat sails 285 miles south and then 132 miles west, we have that its first direction vector is r = (285 mi)j. Also, its direction vector west is r' = -(132 mi)i

So, the resultant vector R = r + r'

=  (285 mi)j + (132 mi)i

=  (132 mi)i + (285 mi)j

So, the magnitude of the resultant vector is R = √(r² + r'²)

So, substituting thevalues of the variables into the equation, we have

R = √(r² + r'²)

R = √((285 mi)² + (132 mi)²)

R = √(81225 mi² + 17424 mi²)

R = √(98649 mi²)

R = 314.08 mi

R ≅ 314.1 mi

So, the resultant vector is 314.1 mi

Learn more about magnitude of resultant vector here:

brainly.com/question/28047791

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