Question

What is the total displacement of the car after 5 h?

Graph of displacement (km) vs. time (hr); y vs. x; Graphs reflects the following data coordinates: (0,0), (1,7.5), (2,15), (3,17.5), (4,20), (5,0)

Question 4 options:

0 km

15 km

20 km

40 km

Answer 1

To determine the total displacement of the car after 5 hours, we can analyze the graph based on the coordinates provided.

The given coordinates represent points on a displacement vs. time graph:

- At time \( t = 0 \) hours, the displacement is \( 0 \) km.
- At time \( t = 1 \) hour, the displacement is \( 7.5 \) km.
- At time \( t = 2 \) hours, the displacement is \( 15 \) km.
- At time \( t = 3 \) hours, the displacement is \( 17.5 \) km.
- At time \( t = 4 \) hours, the displacement is \( 20 \) km.
- At time \( t = 5 \) hours, the displacement returns to \( 0 \) km.

Displacement refers to the change in position from the initial point to the final point. Here, the initial position at \( t = 0 \) is \( 0 \) km, and the final position at \( t = 5 \) is also \( 0 \) km.

Thus, the total displacement is calculated as:

\[
\text{Total Displacement} = \text{Final Displacement} - \text{Initial Displacement} = 0 \text{ km} - 0 \text{ km} = 0 \text{ km}
\]

Given the options:

- 0 km
- 15 km
- 20 km
- 40 km

The correct answer is:
**0 km**