Final answer:
The acceleration of the body can be calculated by finding the average distance and average time intervals between the dots. The acceleration from the third to fourth dot is 75 m/s^2 and the acceleration from the fourth to fifth dot is 100 m/s^2.
Step-by-step explanation:
To calculate the acceleration of the body, we need to determine the time interval between the third and fourth dot and the fourth and fifth dot. We can use the information given to find the average distance and average time interval between the dots. The average distance between the third and fourth dot is 3 cm and the average time interval is 1/50 seconds. The average distance between the fourth and fifth dot is 4 cm and the average time interval is also 1/50 seconds.
To calculate the acceleration, we can use the formula:
Acceleration = Change in velocity / Time interval
Since the initial velocity is 0, the change in velocity is the final velocity. The final velocity can be calculated by dividing the average distance by the average time interval. So,
Final velocity from third to fourth dot = 3 cm / 1/50 s = 150 cm/s
Final velocity from fourth to fifth dot = 4 cm / 1/50 s = 200 cm/s
To convert the final velocity to m/s, divide by 100:
Final velocity from third to fourth dot = 1.5 m/s
Final velocity from fourth to fifth dot = 2 m/s
Now we can calculate the accelerations:
Acceleration from third to fourth dot = (Final velocity - Initial velocity) / Time interval = (1.5 m/s - 0 m/s) / (1/50 s) = 75 m/s^2
Acceleration from fourth to fifth dot = (Final velocity - Initial velocity) / Time interval = (2 m/s - 0 m/s) / (1/50 s) = 100 m/s^2