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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- 4 * 0.5 * 9.8 * 14...

HB
Answered by Hamish B. Maths tutor
4867 Views

Solve for x, 15x+8 = 53

15x + 8 = 53

15x = 53-8 = 45

x = 45/15 = 3

SK
Answered by Sarah K. Maths tutor
5200 Views

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.

  1. We currently have 80% of the original price and aim to find 100%.

  2. We know that 80% is equal to £29.40.

  3. Dividing £29.40 by 80 gives the value of 1% which is £0...

OB
Answered by Oliver B. Maths tutor
14076 Views

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

  1. We aim to factorise the numerator. This would give 6c(c^2 + 5).

  2. We then factorise the denominator. This would give 3(c^2 + 5).

  3. Since (c^2 + 5) is present in b...

OB
Answered by Oliver B. Maths tutor
9011 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 (3x2), and include the limits at the top and bottom of our integration sign to show that it's a definit...

CW
Answered by Charlie W. Maths tutor
5396 Views

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