It takes 2 minutes for a rocket to accelerate from 0 m/s to 2,400 m/s.What is the rocket's average acceleration?

1. Break Down the Problem

We need to find the average acceleration of the rocket. The average acceleration can be calculated using the formula: $a = \frac{\Delta v}{\Delta t}$ where:

• $\Delta v$ is the change in velocity,
• $\Delta t$ is the change in time.

2. Relevant Concepts

• Initial velocity $v_i = 0 \, \text{m/s}$
• Final velocity $v_f = 2400 \, \text{m/s}$
• Time interval $t = 2 \, \text{minutes} = 120 \, \text{seconds}$ (since $1 \, \text{minute} = 60 \, \text{seconds}$)

We can calculate the change in velocity ($\Delta v$): $\Delta v = v_f - v_i = 2400 \, \text{m/s} - 0 \, \text{m/s} = 2400 \, \text{m/s}$

3. Analysis and Detail

Substituting the values into the acceleration formula:

$a = \frac{\Delta v}{\Delta t} = \frac{2400 \, \text{m/s}}{120 \, \text{s}}$

4. Verify and Summarize

Now, we perform the calculation:

$a = \frac{2400}{120} = 20 \, \text{m/s}^2$

Final Answer

The rocket's average acceleration is $20 \, \text{m/s}^2$.