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. - OCR - GCSE Maths - Question 1 - 2017 - Paper 1
Question 1
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 $s = ut + \frac{1}{2}at^2.$
(a) Calculate $s$ when $u = 5$, $t = 10$ and $a = 3.$
(b) Make $a$ the subject of the formula. - OCR - GCSE Maths - Question 1 - 2017 - Paper 1
Step 1
Calculate $s$ when $u = 5$, $t = 10$ and $a = 3$
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Answer
To calculate s, we will use the given values in the formula:
s=ut+21at2
Substituting the values:
u=5
t=10
a=3
We can substitute these values into the equation:
s=(5)(10)+21(3)(102)
Calculating each part:
Calculate ut: 5×10=50
Calculate 21at2: 21(3)(100)=150
Adding these results together:
s=50+150=200
Thus, the calculated value of s is 200.
Step 2
Make $a$ the subject of the formula
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Answer
Starting with the original formula:
s=ut+21at2
We want to isolate a. First, we can rearrange the equation:
Subtract ut from both sides: s−ut=21at2
Multiply both sides by 2: 2(s−ut)=at2
Finally, divide both sides by t2 to solve for a: a=t22(s−ut)
