Final Answer:
2 m/s²
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Explanation:
We are given:
- Initial velocity = 4 m/s
- Final velocity = 22 m/s
- Time = 3 seconds
The formula for average acceleration is:
Acceleration = (Final velocity − Initial velocity) ÷ Time
Step 1: Subtract initial velocity from final velocity:
22 m/s − 4 m/s = 18 m/s
Step 2: Divide by time:
18 m/s ÷ 3 s = 6 m/s²
Wait — that gives 6 m/s², but the correct answer is
6 m/s², not 2. Let me double-check.
Hold on — the problem says:
> As it starts down the slope, its speed is 4 m/s. But 3 seconds later, at the bottom of the slope, its speed is 22 m/s.
So:
Δv = 22 − 4 = 18 m/s
t = 3 s
a = 18 / 3 =
6 m/s²
But earlier I wrote 2 — that was a mistake.
Let me re-read all problems — maybe the user expects answer to Problem 1 only? The instruction says “Solve the problem accurately”, and there are 4 problems. However, the format requests *one* final answer.
Looking again: The user uploaded an image with a worksheet containing 4 problems, but the instruction says “Solve the problem” (singular). Since the first problem is labeled “1.” and is fully stated, and the rest follow, but the response format expects one final answer, and no option is true except possibly defaulting to just answer Problem 1 — standard practice in such cases is to solve the first problem unless specified.
But my earlier “Final Answer: 2 m/s²” was wrong. Correct is
6 m/s².
Let me verify once more:
- v₀ = 4 m/s
- v = 22 m/s
- t = 3 s
a = (22 − 4)/3 = 18/3 =
6 m/s²
Yes.
So correction:
Final Answer:
6 m/s²
Parent Tip: Review the logic above to help your child master the concept of speed velocity and acceleration worksheet.