German High School

Tefan ha to drive 8 mile outh and 3 mile eat to get to get to work. Find hi ditance and diplacement ?

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Answer 1

Answer:

Stefan's distance and displacement are 11 miles and 8.54 miles southeast.

Explanation:

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Stefan's distance and displacement are 11 miles and 8.54 miles southeast

The distance can be calculated directly by adding up the individual distance.

d = 8+3

d = 11 miles

To calculate the displacement of Stefan, we make use of the Pythagoras theorem.

From Pythagoras theorem,

Formula:

a² = b²+c²................ Equation 1

Where:

a = Stefan's resultant displacement

b = Stefan's displacement to the south

c = Stefan's displacement to the east.

From the question,

Given:

b = 8 miles

c = 3 miles.

Substitute these values into equation 1

a² = 8²+3²

a² = 64+9

a² = 73

a = √(73)

a = 8.54 mile southeast.

While the displacement is 8.54 miles southeast.

Hence, Stefan's distance and displacement are 11 miles and 8.54 miles southeast.

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