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Thomas wants to see how far he can throw a javelin. He records four of his throws as 45 metres, 40 metres, 55 metres, and x metres. Given that the mean of Thomas' throws is 50, determine the value of x.

Answer is 60.
MC
Answered by Matthew C. • Maths tutor
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A particle of mass 0.8 kg moving at 4 m/s rebounds of a wall with coefficient of restitution 0.3. How much Kinetic energy is lost?

Coefficient of Restitution (CoR): Speed of Approach x CoR = Speed of Seperation 4 x 0.3 = 1.2 ms -1 Kinetic Energy (KE) Lost: KE lost = Initial KE - Final KE Initial KE = 1/2mv 2 = 1/2 x 0.8 x 4 2 = 6.4 J Fi...
GM
Answered by George M. • Maths tutor
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Solve the pair of simultaneous equations; (1) y + 4x + 1 = 0, (2) y^2 + 5x^2 + 2x = 0 .

Rearrage equation (1) to make y the subject of the formula. This gives y = -4x -1 . Substitute this value of y into equation (2). This gives (-4x -1)^2 +5x^2 +2x = 0 . Expanding out the brackets gives 16x^2 ...
MG
Answered by Melanie G. • Maths tutor
7599 Views

Solve the simultaneous equations: y = x - 2 and y^2 + x^2 = 10

y = x - 2 y 2 + x 2 = 10 Subsitutute the top equation into the second equation: (x-2) 2 + x 2 = 10 Expand out the brackets and simplify: x 2 - 4x + 4 + x 2 = 10 2x 2 - 4x - 6 = 0 x 2 - 2x - 3 = 0 Factorise t...
IR
Answered by Iman R. • Maths tutor
17271 Views

What is a derivative - Introduction to Calculus

Strictly speaking, the derivative is the rate of change of a function, process or pattern. So far, to calculate the gradient of a given function we always computed the change in the y coordinates divided by ...
GM
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