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Do the SUVAT equations work for acceleration that changes with time?

It depends on how much it changes. For instance, if some object does undergo as good as makes no difference constant acceleration, then the SUVAT equations apply quite well to the circumstances a...

Answered by • Physics tutor

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Why does 'x' need to be in radians to differentiate 'sin x'?

There are two definitions of the sine and cosine functions that anyone who uses contemporary maths, and I do mean anyone, uses silently or otherwise. The first is as follows:'Rotate the point (1,0) in Euc...

Answered by • Maths tutor

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Pathogens are disease-causing organisms which can infect humans. Bacteria and viruses are two examples of pathogens. Explain the differences between bacteria and pathogens and give an example of each.

Bacteria:Contain naked DNAHave a cell wall, membrane and organelles - RibosomesAre cellsLarger than virusesCan survive without living ho...

Answered by Tabitha G. • Biology tutor

2530 Views

Differentiate y= (6x^2 - 5)^(3/2) with respect to x

Simplify the equation to y=u^3/2where u = 6x² -5Use the chain ruledy/dx = dy/du x du/dxdy/du = (3/2)u^1/2du/dx = 12x - 0Therefore dy/dx = (3/2)u^1/2 x 12xBut u = ...

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A car undergoes uniform acceleration from a starting velocity of 10ms^-1 to 20ms^-1 in 10s. Assuming the car's mass is 2000kg, calculate the net force in the direction of the acceleration.

We need to find the net force. We are given a starting and final velocity, the length of time the acceleration took place and the total weight of the car. We can use F=ma to calculate the net force. Since...

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