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Write the equations of motion for constant acceleration and describe each term involved. Explain how to apply these equations of motion to calculate the horizontal and vertical components of a projectile moving under the force of gravity only.

The equations of motion for constant acceleration are obtained from Newton's laws of motion. They are sometimes known as the SUVAT equations and can be used to calculate components of a projectile's motion b...
TD
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Mixed rugby team of 20, 5 are female. 15 play at a time. i.) What is the percentage chance of a female playing. ii.)A minimum of three females must now be on the pitch. What is the percentage chance of 4 females playing?

i.) 5/20 * 15/20 *100 = 18.755%ii.) Since 3 have to be on the team, essentially the problem is percentage chance of one female getting onto a team of 12, therefore 2/17 * 12/17 * 100 = 8.30%
AC
Answered by Alfie C. • Maths tutor
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f(x) = (2x+3)/(x-4). Work out f^-1 (x)

f -1 (x) = inverseSet f -1 (x) as y = (2x+3)/(x-4)y(x-4) = 2x+3yx-4y = 2x+3yx-2x = 3+4yx(y-2) = 3+4yx = (3+4y)/(y-2)f -1 (x) = (3+4x)/(x-2)
GH
Answered by Gurlina H. • Maths tutor
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Houses lose majority of their energy through the roof and windows. State the three methods of energy transfer. For the roof and windows respectively, describe one adaptation that could be made to improve their efficiency and explain their method.

Conduction, Convection, Radiation Roof: Insulation. Material reduces conduction as it is a greater inductor of heat than air. Material reduces convection currents as the air gaps are now too small for a conv...
AC
Answered by Alfie C. • Physics tutor
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For which values of x is x^2 - 5x + 6 < 0 true?

Factorising the left hand side of the inequality gives (x-2)(x-3), so we know that the quadratic curve intersects the x-axis at x=2 and x=3. Since the coefficient of x^2 in the quadratic equation x^2-5x+6 is...
TV
Answered by Thomas V. • Maths tutor
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