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 **B**. ### Explanation of Other Options - **Option A (10 m/s):** This option suggests that the object's velocity remains unchanged. This is incorrect because the object is experiencing a uniform acceleration, which means its velocity will increase over time. - **Option C (30 m/s):** This option implies that the object has accelerated too much. It incorrectly assumes a higher acceleration or a longer time than what is given in the problem. - **Option D (25 m/s):** This option is also incorrect. It seems to be a miscalculation of the final velocity, possibly by incorrectly adding the acceleration component or misinterpreting the time. ### Common Pitfalls - **Ignoring acceleration:** Some students might forget to account for the acceleration when calculating the final velocity. - **Misapplying the formula:** Ensure that the correct kinematic equation is used and that all units are consistent (e.g., m/s for velocity and m/s² for acceleration). - **Calculation errors:** Double-check arithmetic operations to avoid simple mistakes. ### Revision Summary - Use the kinematic equation \( v = u + at \) to find final velocity. - Substitute known values carefully and perform calculations step-by-step. - Understand the role of acceleration in changing an object's velocity. - Always verify your final answer against the options provided.