To determine the object's velocity after 5 seconds, we can use the kinematic equation that relates initial velocity, acceleration, time, and final velocity. The equation is: \[ v = u + at \] Where: - \( v \) = final velocity (what we want to find) - \( u \) = initial velocity - \( a \) = acceleration - \( t \) = time ### Step-by-Step Calculation 1. **Identify the given values:** - Initial velocity (\( u \)) = 10 m/s - Acceleration (\( a \)) = 2 m/s² - Time (\( t \)) = 5 seconds 2. **Substitute the values into the equation:** \[ v = 10 \, \text{m/s} + (2 \, \text{m/s}^2 \times 5 \, \text{s}) \] 3. **Calculate the acceleration component:** \[ 2 \, \text{m/s}^2 \times 5 \, \text{s} = 10 \, \text{m/s} \] 4. **Add this to the initial velocity:** \[ v = 10 \, \text{m/s} + 10 \, \text{m/s} = 20 \, \text{m/s} \] ### Conclusion The final velocity of the object after 5 seconds is **20 m/s**. Therefore, the correct option is **A**. ### Explanation of Other Options - **Option B (25 m/s):** This option is incorrect because it suggests that the final velocity is higher than what we calculated. It may arise from a misunderstanding of how to apply the kinematic equation or miscalculating the acceleration component. - **Option C (30 m/s):** This option is also incorrect. It implies an even greater increase in velocity than what is justified by the given acceleration and time. It could be a result of incorrectly adding the acceleration multiple times or misunderstanding the relationship between acceleration and time. - **Option D (35 m/s):** This option is the highest and is incorrect. It suggests an unrealistic increase in velocity, likely due to a miscalculation or misinterpretation of the acceleration's effect over time. ### Common Pitfalls - **Misunderstanding the formula:** Ensure you are using the correct kinematic equation. The equation \( v = u + at \) is specifically for linear motion with constant acceleration. - **Forgetting to multiply acceleration by time:** A common mistake is to forget to multiply the acceleration by the time duration, which is crucial for finding the change in velocity. - **Confusing units:** Always check that the units are consistent (e.g., m/s for velocity and m/s² for acceleration). ### Revision Summary - Use the kinematic equation \( v = u + at \) to find final velocity. - Substitute the initial velocity, acceleration, and time correctly. - Calculate the change in velocity due to acceleration accurately. - Double-check your calculations to avoid common mistakes.