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Find the displacement function if the acceleration function is a=2t+5. Assume a zero initial condition of displacement and v=8 when t=1.

Integrating the acceleration function gives the velocity function v, as below: v = t 2 +5t +C 1 , where C 1 is a constant. Integrating the velocity function gives the displacement function x, as below: x = t...
JH
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Do y=3x^2+5x+12 and y=3x-8 intercept with each other? If yes, at which point(s)?

This is like solving 2 simultaneous equations. Both equations are in a form of y=ax^2+bx+c. Equate both equations together and you got: 3x 2 +5x+12 = 3x-8 Put both polynomials at one side and you got: 3x 2 +...
JH
Answered by Justin H. • Maths tutor
5388 Views

What is the best way to structure an essay exam question?

These can seem a bit intimidating at first, but no need to panic over them! Firstly, look at the question and highlgiht the key terms. Identify exacltly what it is asking you to do (explain? describe? evalua...
CW
Answered by Chloe W. • Geography tutor
3641 Views

How can I remember the difference between differentiation and integration?

A neat trick to remember what we do to the powers when integrating and differentiating is that we IN crease the power when we IN tegrate, and D ecrease the power when we D ifferentiate! Once we've got the po...
LW
Answered by Laura W. • Maths tutor
19837 Views

How do I approach classical/Shakespearean texts?

The first thing to do, when approaching a Shakespearean text, is to become accustomed to the rhythm and intonation of verse - and the best way to do that is to speak it aloud. Speaking aloud brings attention...
EM
Answered by Emma M. • English tutor
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