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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 at play. If t...
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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 Euclid...
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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 DNA Have a cell wall, membrane and organelles - RibosomesAre cells Larger than virusesCan survive without living hostCan be treated with antibiotics example: Staphylococcus aureus Viru...
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Answered by Tabitha G. • Biology tutor
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Differentiate y= (6x^2 - 5)^(3/2) with respect to x

Simplify the equation to y=u 3/2 where u = 6x 2 -5Use the chain ruledy/dx = dy/du x du/dxdy/du = (3/2)u 1/2 du/dx = 12x - 0Therefore dy/dx = (3/2)u 1/2 x 12xBut u = 6x 2 -5 so substitute that into the deriva...
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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 ma...
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