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A bus speeds up uniformly from 6 metres per second to 18 metres per second in 4 seconds. What is its acceleration?
A6 m per second squared
B12 m per second squared
C48 m per second squared
D3 m per second squared
Answer & Solution
Correct answer: D. 3 m per second squared
1. Acceleration is a measure of how fast the velocity of an object changes in time.
2. It is worked out as the change in velocity divided by the time taken.
3. The change in velocity is 18 metres per second minus 6 metres per second.
4. That change is 12 metres per second.
5. Dividing 12 metres per second by 4 seconds gives 3.
6. The acceleration is therefore 3 metres per second squared in the direction of motion.
7. Choosing 12 stops at the change in velocity and forgets to divide by the time.
8. Choosing 48 multiplies by the time instead of dividing by it.
_Source: Siyavula Physical Sciences Grade 10 (Everything Science, CC BY 4.0), Chapter 21: Motion in one dimension_
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