Final answer:
The acceleration of a person speeding up from 1 m/s to 10 m/s in 4 seconds is calculated as 2.25 m/s² using the formula for acceleration (final velocity - initial velocity) / time taken.
Step-by-step explanation:
To calculate the acceleration of a person increasing speed from an initial velocity of 1 m/s to a final velocity of 10 m/s in 4 seconds, you can use the formula for acceleration, which is: acceleration = (final velocity - initial velocity) / time taken. Plugging in the values: acceleration = (10 m/s - 1 m/s) / 4 s = 9 m/s² / 4 s = 2.25 m/s². Therefore, the acceleration is 2.25 m/s².