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If a particle of mass m is launched vertically upwards from the ground with velocity u m/s, how long will it take to return to the ground in terms of m, u and g?

Taking upwards to be positive, and using the 'suvat' equation s=ut+1/2at 2 we know that u=u, a=-g and s=0 when the particle returns to the ground. Then we solve for t: 0=ut-1/2gt 2 0=t(u-1/2gt) So the partic...
JV
Answered by Jackie V. • Maths tutor
3602 Views

dux Gallorum timebat ne Romani viros collem ascendentes audirent. itaque imperavit omnibus Gallis ut in itinere tacerent. ea nocte Galli tam tacite processerunt ut custodes Romani eos non conspicerent.

The leader of the Gauls was afraid that the Romans might hear the men climbing the hill.And so he ordered all the Gauls to say nothing on the journey.That night the Gauls advanced so silently that the Roman ...
KM
Answered by Kishan M. • Latin tutor
4868 Views

How to recognise and make the link between probability and the algebraic demands of this question?

While I doubt students will ask this exact question, think it provides the basis for what are usually the most difficult questions in GCSE papers, and students would usually be unsure where to start. My insp...
NK
Answered by Neeraj K. • Maths tutor
3343 Views

Use the substitution u=x^2-2 to find the integral of (6x^3+4x)/sqrt( x^2-2)

First use the substitution to find du/dx which is 2x. From this we now know that dx= du/2x (just re-arranging.) Substituting that into the integral we now get (6x 3 +4x)/ (sqrt (u) x 2x) du. Cancelling out t...
KS
Answered by Khalil S. • Maths tutor
10670 Views

Explain opportunity cost

Opportunity cost is the cost of sacrificing the next best alternative to the activity under consideration. In order to explain this I will use a literal example. You are going to watch a football match. Ther...
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Answered by Edward H. • Economics tutor
2783 Views