Question

A car starts 200 m west of the town square and moves with a constant velocity of 15 m/s toward the east. Draw a graph that represents the motion of the car . Where will the car be 10 minutes later?

Answer 1

After 10 minutes, the car will be at a position of 8800 meters east of the starting point

How to find velocity?

To draw a graph representing the motion of the car, plot position versus time. The car starts 200 meters west of the town square, so take the town square as our reference point (0 meters).

Since west of the town square is in the negative direction, the car's initial position is -200 meters. The car moves towards the east (positive direction) with a constant velocity of 15 m/s.

The position of the car at any time t (in seconds) can be calculated using the formula:

`\[ \text{Position} = \text{Initial Position} + \text{Velocity} * \text{Time} \]`

`\[ \text{Position} = -200 \text{ m} + 15 \text{ m/s} * t \]`

To find the position of the car after 10 minutes, we need to convert 10 minutes into seconds (since velocity is in meters per second). There are 60 seconds in a minute, so 10 minutes is
`\( 10 * 60 = 600 \)` seconds.

The graph represents the car's motion over a period of 10 minutes. The car's position changes linearly with time, reflecting its constant velocity towards the east.

After 10 minutes, the car will be at a position of 8800 meters east of the starting point (200 meters west of the town square).