To calculate how far you would travel given this scenario, we need to break the problem into steps and use the basic kinematic equations of motion. Here's a step-by-step breakdown:

Given:

• Initial velocity ($v_0$) = 12.24 m/s
• Time ($t$) = 25.23 minutes = $25.23 \times 60 = 1513.8$ seconds
• Acceleration ($a$) = 0.525 m/s²

Formula to Use:

The equation of motion for distance traveled under constant acceleration is:

$d = v_0 t + \frac{1}{2} a t^2$

Where:

• $d$ is the total distance traveled.
• $v_0$ is the initial velocity.
• $t$ is the time.
• $a$ is the acceleration.

Calculation:

Substitute the values into the formula.

$d = 12.24 \times 1513.8 + \frac{1}{2} \times 0.525 \times (1513.8)^2$

Let's compute this.The total distance you would travel in 25.23 minutes, while accelerating at 0.525 m/s², is approximately 620,071.4 meters (or about 620 kilometers).

Would you like further details on any of the steps, or do you have other questions?

Here are some related questions:

1. How would the distance change if the initial velocity were higher?
2. What if the acceleration was negative (deceleration)?
3. How long would it take to reach a certain speed given this acceleration?
4. How much distance is traveled in the first 5 minutes?
5. How would the result change if the acceleration was applied after a delay?

Tip: Always ensure the units of time are consistent (seconds, minutes, etc.) when solving kinematics problems.