A cyclist accelerates from rest to 25 m/s in 10 seconds. What is the cyclist's acceleration?

To determine the cyclist's acceleration, you can use the formula for acceleration, which is defined as the change in velocity divided by the time taken for that change. In this case, the cyclist starts from rest, meaning the initial velocity is 0 m/s, and accelerates to a final velocity of 25 m/s over a period of 10 seconds.

The calculation goes as follows:

1. Calculate the change in velocity: final velocity (25 m/s) - initial velocity (0 m/s) = 25 m/s.

2. Then, use the formula for acceleration ( a ):

[

a = \frac{\Delta v}{\Delta t} = \frac{25 \text{ m/s}}{10 \text{ s}} = 2.5 \text{ m/s}^2.

]

Thus, the cyclist's acceleration is 2.5 m/s². This value reflects the rate at which the cyclist's speed increases each second.

The choice that states 2.0 m/s² is slightly less than the calculated value, indicating that the acceleration would not reach the final speed in the specified time. Other options like 1.5 m/s² and 3