t takes 10 s for an object to accelerate from 10 m/s to 25 m/s.What is the object's average acceleration?

1. Break Down the Problem

To find the average acceleration, we need to:

1. Identify the initial velocity ($v_i$).
2. Identify the final velocity ($v_f$).
3. Identify the time period ($t$) over which the acceleration occurs.
4. Apply the formula for average acceleration.

2. Relevant Concepts

The formula for average acceleration ($a$) is given by: $a = \frac{v_f - v_i}{t}$ Where:

• $v_f$ is the final velocity.
• $v_i$ is the initial velocity.
• $t$ is the time taken for the change in velocity.

3. Analysis and Detail

1. Identify the Values:

   • Initial velocity, $v_i = 10 \, \text{m/s}$
   • Final velocity, $v_f = 25 \, \text{m/s}$
   • Time, $t = 10 \, \text{s}$

2. Substituting the Values into the Formula: $a = \frac{25 \, \text{m/s} - 10 \, \text{m/s}}{10 \, \text{s}}$ $a = \frac{15 \, \text{m/s}}{10 \, \text{s}} = 1.5 \, \text{m/s}^2$

4. Verify and Summarize

The calculations show that the change in velocity is $15 \, \text{m/s}$ occurring over $10 \, \text{s}$, leading to an average acceleration of $1.5 \, \text{m/s}^2$.

Final Answer

The object's average acceleration is $1.5 \, \text{m/s}^2$.