a cyclist moves along a straight path 3 m during the first second, 6 m during the next 2 seconds and 9 m during the next 3 seconds. describe the motion of the cycist

V1 = D1/T1 = 3/1 = 3 m/s.

V2 = 6/2 = 3 m/s.
V3 = 9/3 = 3 m/s.

Motion: Constant velocity.

Whats is the t motion of the cylist

To describe the motion of the cyclist, we can break it down into three intervals:

1. During the first second: The cyclist moves 3 meters. This means the average velocity during this interval is 3 meters per second.

2. During the next two seconds: The cyclist moves an additional 6 meters. So, in total, the cyclist has moved 3 + 6 = 9 meters in 3 seconds. Therefore, the average velocity during this interval is 9 meters / 3 seconds = 3 meters per second.

3. During the next three seconds: The cyclist moves an additional 9 meters. So, in total, the cyclist has moved 9 + 9 = 18 meters in 6 seconds. Therefore, the average velocity during this interval is 18 meters / 6 seconds = 3 meters per second.

Therefore, the motion of the cyclist is described as a constant speed of 3 meters per second.

To describe the motion of the cyclist, we need to determine the velocity and acceleration for different intervals of time.

First, let’s calculate the average velocity for each interval of time.

During the first second, the cyclist moves 3 meters. Therefore, the average velocity during this interval is:

Average velocity = displacement / time = 3 m / 1 s = 3 m/s

During the next 2 seconds, the cyclist moves 6 meters. Therefore, the average velocity during this interval is:

Average velocity = displacement / time = 6 m / 2 s = 3 m/s

During the next 3 seconds, the cyclist moves 9 meters. Therefore, the average velocity during this interval is:

Average velocity = displacement / time = 9 m / 3 s = 3 m/s

As we can see, the average velocity is constant at 3 m/s for each interval. So, the cyclist is moving with a constant velocity of 3 m/s.

Now, let’s determine the acceleration of the cyclist.

Acceleration is the rate of change of velocity. Since the velocity is constant, the acceleration is zero. Therefore, the cyclist is not accelerating.

In summary, the cyclist is moving with a constant velocity of 3 m/s along a straight path, and there is no acceleration.