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A leopard is running with a velocity of 3 m/s - OCR - GCSE Maths - Question 6 - 2018 - Paper 1

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A leopard is running with a velocity of 3 m/s. It then accelerates at 2 m/s² for 4 seconds. Use the formula $$v = u + at$$ to work out the final velocity of the leo... show full transcript

Worked Solution & Example Answer:A leopard is running with a velocity of 3 m/s - OCR - GCSE Maths - Question 6 - 2018 - Paper 1

Step 1

Calculate the change in velocity (at)

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Answer

To find the change in velocity, we can use the acceleration formula:

extChangeinvelocity=at ext{Change in velocity} = at where:

  • (a = 2 \text{ m/s}^2)
  • (t = 4 \text{ s})

So,

extChangeinvelocity=2×4=8 m/s ext{Change in velocity} = 2 \times 4 = 8 \text{ m/s}

Step 2

Calculate the final velocity (v)

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Answer

Using the formula:

v=u+atv = u + at where:

  • (u = 3 \text{ m/s})
  • Change in velocity = 8 m/s

We can now substitute the values:

v=3+8=11 m/sv = 3 + 8 = 11 \text{ m/s}

Therefore, the final velocity of the leopard is 11 m/s.

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