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A small stone is projected verically upwards from a point O with a speed of 19.6ms^-1. Modeeling the stone as a particle moving freely under gravity find the time for which the stone is more than 14.6m above O

S = 14.7, U = 19.6, V =, A = -g, T = t using s = ut + 1/2 at^2 14.7 = 19.6t + 1/2 -g t^2 1/2 g t^2 - 19.6t + 14.7 = 0 t = (19.6 +- sqrroot(-19.6 2 - 4 * 0.5 * 9.8 * 14.7)) / 2 * 0.5 * 9.8 t = 1 and t = 3 The...
HB
Answered by Hamish B. • Maths tutor
5039 Views

Solve for x, 15x+8 = 53

15x + 8 = 53 15x = 53-8 = 45 x = 45/15 = 3
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Answered by Sarah K. • Maths tutor
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In a sale, the original price of a bag was reduced by 1/5. The sale price of the bag is £29.40. Work out the original price.

We currently have 80% of the original price and aim to find 100%. We know that 80% is equal to £29.40. Dividing £29.40 by 80 gives the value of 1% which is £0.3675. Multiplying this by 100 give the desired 1...
OB
Answered by Oliver B. • Maths tutor
14398 Views

c is a positive integer. Prove that (6c^3 + 30c) / (3c^2 +15) is an even number.

We aim to factorise the numerator. This would give 6c(c^2 + 5). We then factorise the denominator. This would give 3(c^2 + 5). Since (c^2 + 5) is present in both the numerator and denominator, it will cancel...
OB
Answered by Oliver B. • Maths tutor
9226 Views

Integrate 3x*2 using limits of 3 and 2

(See whiteboard for step by step process) First, we write down the function we want to integrate (3x 2), and include the limits at the top and bottom of our integration sign to show that it's a definite inte...
CW
Answered by Charlie W. • Maths tutor
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