Johniece jogs 7 feet then turns 90 degrees and jogs 2 feet. What is the distance and the displacement ?

distance = 7+2 = 9 ft

displacement = √(7^2+2^2) = √53 = 7.28 ft

To find the distance and displacement, we need to understand the difference between the two terms.

Distance represents the total amount covered by an object, regardless of direction. It is a scalar quantity and has only magnitude.

Displacement, on the other hand, takes into account both distance and direction. It is a vector quantity and has both magnitude and direction.

In this scenario, Johniece jogs 7 feet in one direction and then turns 90 degrees and jogs 2 feet.

To find the distance:
- We can add the distances covered in each direction.
- In this case, the total distance would be 7 feet + 2 feet = 9 feet.

To find the displacement:
- We need to consider the starting and ending points.
- Since Johniece turns 90 degrees after the first jog, the final position points in a new direction.
- We can represent the first jog as a displacement vector pointing in one direction (7 feet), and the second jog as a displacement vector pointing in a perpendicular direction (2 feet).
- By using vector addition, we find the resultant displacement vector, which connects the starting point to the ending point.
- In this case, the resultant displacement vector forms a right triangle with sides of length 7 feet (horizontal displacement) and 2 feet (vertical displacement).
- Using the Pythagorean theorem, we can calculate the length of the resultant displacement vector.
- In this case, the length would be √(7^2 + 2^2) = √(49 + 4) = √53 feet (rounded to two decimal places).

Therefore, the distance covered by Johniece is 9 feet, and the displacement is approximately √53 feet.