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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

Question 4

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

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

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Answer

Substituting the values into the equation, we first calculate the term $ut$ :

$ut = 12 \times 4 = 48$

Step 2

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Answer

Next, we calculate the term $\frac{1}{2}at^2$ :

$\frac{1}{2} \cdot 10 \cdot (4)^2 = 5 \cdot 16 = 80$

Step 3

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Answer

Finally, we combine both contributions to find the value of $s$ :

$s = 48 + 80 = 128$

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