Question

During the turtle race, a turtle traveled 5 feet north. The turtle then went 15 feet farther north. What was the turtle's displacement?

A) 10 feet North
B) 15 feet North
C) 5 feet North
D) 20 feet North

Answer 1

The turtle's displacement after traveling 5 feet north and then an additional 15 feet north is 20 feet north. We arrive at this by adding both distances together. Option D is correct.

Step-by-step explanation:

The student asked about the displacement of a turtle in a race. The turtle first traveled 5 feet north and then went an additional 15 feet north. To find the total displacement, we add the two distances together since they are in the same direction. So, the displacement is 5 feet + 15 feet = 20 feet North.

Displacement is a vector quantity that represents the change in position of an object from its initial position to its final position, taking into account both the magnitude and direction of the change.

In this case, the turtle traveled 5 feet north initially and then went 15 feet further north, resulting in a total displacement of 20 feet North. It is important to note that displacement is independent of the path taken and only considers the initial and final positions.

Answer 2

Answer: 20 feet (D)

Step-by-step explanation:

R² = P² + Q² + 2PQcos(θ)

P = 15 + 5cos(0°)

P = 15 + 5

= 20

Q = 0 + 5 sin(0°)

Q = 0

R² = P² + Q² + 2PQcos(θ)

R² = P²

R² = 400

R = 20

or...

15î + 5î = 20