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A golf ball is hit at angle θ to the horizontal, with initial velocity u. Stating an assumption, show that the horizontal distance travelled by the ball is directly proportional to u^2.

If we assume there is no air resistance, this means that the horizontal component of the ball's velocity won't change. Resolving horizontally we can see that the horizontal velocity = u cos(θ). We can then u...
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Answered by Douglas B. • Physics tutor
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Given that y = x^4 tan(2x), find dy/dx

Here we have a product of two functions - they are being multiplied together - so we need to use the product rule. The product rule is: if y = u·v, dy/dx = v·u' + u·v' (where f' stands for df/dx). u = x^4 du...
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Answered by Douglas B. • Maths tutor
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How is DNA replicated?

Scientists have proposed several models of DNA replication but the currently accepted model is called the 'Semi-Conservative' model. The Semi-Conservative model of DNA replication was discovered by two scien...
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Answered by Gurpreet D. • Biology tutor
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Applying material from Item A, analyse two reasons for gender difference in achievement (10 marks)

Firstly, as stated in Item A, the impact of feminism has led to major shift in attitudes towards education. Sue Sharpe showed there had been a massive shift in priorities from the 1950s to the 1990s – girls ...
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Answered by Fiona O. • Sociology tutor
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Find the first four terms in the binomial expansion of (2 + x) ^5

Firstly we must take the 2 out of the bracket, as a binomial expansion must have a coefficent of 1 (2 + x) 5 = 2 5 (1 + 0.5x) 5 Then, it is a good idea to quote the binomial expasion formula (you can often p...
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Answered by Fiona O. • Maths tutor
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