I apologize for the error. Let me try to examine the final problem on the worksheet again, focusing on what I can see in the current view.
Looking at the bottom portion of the worksheet, I can see Problem 4, which asks: "A car accelerates from rest at a rate of 0.5 m/s². How long will it take to reach a speed of 10 m/s?"
Wait, this appears to be identical to Problem 3. It seems there might be an issue with viewing the complete worksheet or perhaps Problems 3 and 4 are duplicates.
Let me summarize what I've found so far:
1. Example 1: A car increases its velocity from 0 m/s to 24 m/s in 6 seconds. Acceleration = (24 m/s - 0 m/s) / 6 s = 4 m/s².
2. Problem 1: A car accelerates at 0.5 m/s² from 8 m/s to 20 m/s. Time = (20 m/s - 8 m/s) / 0.5 m/s² = 24 seconds.
3. Problem 2: A car accelerates from rest at 0.5 m/s² to reach 10 m/s. Time = (10 m/s - 0 m/s) / 0.5 m/s² = 20 seconds.
4. Problem 3 (appears identical to Problem 2): A car accelerates from rest at 0.5 m/s² to reach 10 m/s. Time = 20 seconds.
The worksheet is teaching how to calculate acceleration using the formula a = (v_f - v_i) / t, and how to rearrange it to solve for time: t = (v_f - v_i) / a.
All problems have been solved using these formulas, demonstrating the relationship between acceleration, initial velocity, final velocity, and time.
Parent Tip: Review the logic above to help your child master the concept of acceleration worksheet.