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Find the value of s when u = 12, a = 10 and t = 4 - OCR - GCSE Maths - Question 4 - 2017 - Paper 1

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Find the value of s when u = 12, a = 10 and t = 4. s = u t + \frac{1}{2} a t^2

Worked Solution & Example Answer:Find the value of s when u = 12, a = 10 and t = 4 - OCR - GCSE Maths - Question 4 - 2017 - Paper 1

Step 1

Calculate s using the formula

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Answer

To find the value of s, we will substitute the given values into the formula:

s=ut+12at2s = ut + \frac{1}{2} a t^2

Substituting the values:

  • u = 12
  • a = 10
  • t = 4

This results in:

s=(12)(4)+12(10)(42)s = (12)(4) + \frac{1}{2}(10)(4^2)

Now calculate:

  • First term: (12)(4) = 48
  • Second term: \frac{1}{2}(10)(16) = \frac{1}{2}(160) = 80

Adding both terms together gives:

s=48+80=128s = 48 + 80 = 128

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