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A ball of mass m is thrown with velocity of (7i + 4j) m/s from a height of 1m. After some time it hits the ground. Find the: a) ball's maximum height b) speed it hits the ground c) distance travelled

Projectile problem solved using SUVAT--- a) Maximum Height - consider only vertical components: u = 4 m/s, a = -9.81 m/s2, v = 0 ( at maximum height vertical speed is 0), s = ? - Use v 2 = u 2 + 2a (s-1) = 0...
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Answered by Lucy M. • Maths tutor
2901 Views

From factorising a^2-b^2 hence or otherwise simplify fully (x^2 + 4)^2 - (x^2-2)^2

This question is a GCSE Higher tier style question. First the student should recognise that a 2 -b 2 = (a-b)(a+b). Using this to solve (x 2 +4) 2 -(x 2 -2) 2 - Where a = (x 2 +4) and b = (x 2 -2). Therefore ...
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Answered by Mythili S. • Maths tutor
12602 Views

Simplify 8x-3+6x

we can know there are 3 terms in this polynomial. The basic rule to simplify it is to combine the similar terms. The “x” exists both in the “8x”and the “6x” , which means they are similar. Therefore we can c...
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Answered by Lanxin Y. • Maths tutor
7860 Views

A kettle costs £50 in a sale. It was reduced by 30%. What was the original price of the kettle?

100% - 30% = 70%£50 = 70%£50/70 = 0.714£0.714 = 1%100% = £71.4
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Answered by Violeta M. • Maths tutor
3410 Views

Solve the simultaneous equations 5x + y = 21, x - 3y = 9

To solve, begin by multiplying both sides of the first equation by 3. This will make the coefficients of y in each equation an equal value of 3. With 15x + 3y = 63 and x -3y = 9, we can now simply add the eq...
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Answered by Ellie B. • Maths tutor
4823 Views