draw a particle model and a motion diagram for A bike travels at constant speed of 4.0 m/s for 4 s then slow down to come at rest in 3 s.

To draw a particle model and a motion diagram for the given scenario, you will need to follow a few steps:

1. Determine the initial and final positions of the bike. Let's assume the initial position is at point A and the final position is at point B.

2. Determine the time intervals for each segment of motion. In this case, we have two segments: constant speed motion and deceleration. The constant speed segment lasts for 4 seconds, and the deceleration segment lasts for 3 seconds.

3. For the constant speed segment:
- Draw a dot or small circle to represent the bike at point A.
- Draw an arrow to indicate the direction of motion, which will be to the right based on the given information.
- Label the arrow with the speed of 4.0 m/s.
- Draw a straight line from the dot at point A to represent the path of the bike, with arrowhead at the end to indicate the direction.

4. For the deceleration segment:
- Draw a dot or small circle to represent the bike at point B, which should be located further to the right from point A.
- Draw an arrow to indicate the direction of motion, which will be to the left since the bike is slowing down.
- Label the arrow with the speed of 0 m/s since the bike comes to a rest.
- Draw a curved line from the dot at point A to the dot at point B to represent the curved path of the bike during deceleration.

5. Add a time scale to the motion diagram, indicating the time intervals on the x-axis as appropriate. Mark the time intervals for both the constant speed and deceleration segments.

Remember, the particle model represents the position and motion of the object using dots or circles, arrows, and labels. The motion diagram represents the path of the object's motion using lines or curves, arrows, and labels.