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A train is travelling with a velocity of 15 m/s - OCR - GCSE Maths - Question 12 - 2020 - Paper 1

Question 12

A train is travelling with a velocity of 15 m/s. It then accelerates at 0.5 m/s² for 6 seconds. Use the formula v = u + at to calculate the velocity of the train aft... show full transcript

Worked Solution & Example Answer:A train is travelling with a velocity of 15 m/s - OCR - GCSE Maths - Question 12 - 2020 - Paper 1

Step 1

Calculate the velocity after 6 seconds

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Answer

To calculate the final velocity of the train after 6 seconds, we can use the formula:

$v = u + at$

where:

$u = 15 \text{ m/s}$ (initial velocity)
$a = 0.5 \text{ m/s}^2$ (acceleration)
$t = 6 \text{ s}$ (time)

Now substitute the values into the formula:

$v = 15 + (0.5 \times 6)$

Calculating further: $v = 15 + 3 = 18 \text{ m/s}$

Thus, the final velocity of the train after 6 seconds is 18 m/s.

Step 2

Rearrange the formula v = u + at to make a the subject

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Answer

To rearrange the formula to make $a$ the subject, we start from:

$v = u + at$

First, isolate the term containing $a$ by subtracting $u$ from both sides:

$v - u = at$

Next, divide both sides by $t$ to solve for $a$ :

$a = \frac{v - u}{t}$

So, the rearranged formula is:

$a = \frac{v - u}{t}$

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