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Use the formula $s = ut + \frac{1}{2} at^2$ - OCR - GCSE Maths - Question 1 - 2017 - Paper 1

Question 1

$Use-the-formula-$s-=-ut-+-\frac{1}{2}-at^2$-OCR-GCSE Maths-Question 1-2017-Paper 1.png$

Use the formula $s = ut + \frac{1}{2} at^2$. (a) Calculate $s$ when $u = 5$, $t = 10$ and $a = 3$. (b) Make $a$ the subject of the formula.

Worked Solution & Example Answer:Use the formula $s = ut + \frac{1}{2} at^2$ - OCR - GCSE Maths - Question 1 - 2017 - Paper 1

Step 1

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Answer

To calculate $s$ , we will use the given formula:

$s = ut + \frac{1}{2} at^2$

Substituting the values into the formula:

$s = (5)(10) + \frac{1}{2}(3)(10^2)$

Calculating each term:

Adding both results together:

$s = 50 + 150 = 200$

Thus, the calculated value of $s$ is $200$ .

Step 2

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Answer

To make $a$ the subject of the formula, we start with the original equation:

$s = ut + \frac{1}{2} at^2$

First, we isolate the term containing $a$ :

$s - ut = \frac{1}{2} at^2$

Next, multiply both sides by $2$ to eliminate the fraction:

$2(s - ut) = at^2$

Now, divide by $t^2$ to solve for $a$ :

$a = \frac{2(s - ut)}{t^2}$

This gives us the equation expressing $a$ in terms of $s$ , $u$ , and $t$ .

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