Answer:
Concept:
Displacement is the length of the shortest path from the initial point to the final point. This means the length between the initial point and the final point, regardless of the path in between
Distance is the sum of the total length of the path traveled by an object from one place to another.
Solve:
Find the magnitude of displacement
Given information
AB = 12 km Eastward
BC = 5 km Southward
Refer to the attachment below for a graphical understanding
Given the formula for displacement
Since it is a right triangle, and we are trying to determine the value of AC, we can use the Pythagorean theorem
AC² = AB² + BC²
Substitute values into the given formula
AC² = (12)² + (5)²
Simplify the exponents
AC² = 144 + 25
Simplify by addition
AC² = 169
Square root both sides of the equation
√AC² = √169
AC = 13
Find the magnitude of the distance
Given the formula for the distance
Distance = AB + BC
Substitute values into the given formula
Distance = (12) + (5)
Simplify by addition
Distance = 17
Find the difference between the values
Given expression
Distance - Displacement (AC)
Calculated information
Distance = 17
AC = 13
Substitute values into the expression
(17) - (13)
Simplify by subtraction
Hope this helps!! :)
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