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At time t = 0, a particle is projected vertically upwards with speed u m s–1 from a point 10 m above the ground. At time T seconds, the particle hits the ground with speed 17.5 m s–1. Find the value of u and T and evaluate the model. (AS mechanics)

This is a classic suvat question that will most definately appear in the studnets exam without fail. To begin I would list all the values I have and notice that the ball being modelled as a particle denotes ...
Answered by • Maths tutor
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How would you represent the decimal number 143 in 7 bit binary?

First look at the leftmost digit, which represents how many 128s are in the number. There is one 128 in 143, so we mark that as a 1. Then take the remainder of the value - in this case 143-128 = 15, and move...
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Answered by Joel C. • Computing tutor
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A quantity N is increasing with respect to time, t. It is increasing in such a way that N = ae^(bt) where a and b are constants. Given when t = 0, N = 20, and t = 8, N = 60, find the value: of a and b, and of dN/dt when t = 12

N = ae bt When N = 20, t = 0. We can substitute this in. 20 = ae b x 0 We know that b x 0 = 0, and that e 0 = 1, so we can replace these. 20 = a x 1 This means that a = 20 N = 20e bt When N = 60, t = 8. We c...
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Answered by Jack C. • Maths tutor
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How would you use the following expression to approximate [(4-5x)/(1+2x)(2-x)] when x=5 (A2 pure)

So I cant really answer this question over text however, the method would be using partial fractions to split the two fractions into two, then using a binomial expansion, but the indicies will be negative so...
Answered by • Maths tutor
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How does E. E. Cummings present a critique of jingoism in his poem '"next to of course god america i'?

In '"next to of course god america i', E. E. Cummings presents a critique of empty rhetoric, specifically jingoistic rhetoric (evidenced by Cummings play on the phrase "by jingo"). All but the...
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Answered by William H. • English tutor
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