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A 1000kg car accelerates from 0 to 20 m/s in 15 seconds. Calculate the acceleration of the car, the force required for this acceleration and the momentum of the car at 20 m/s.

The first part of the question, calculating the acceleration, uses the fact that acceleration equals the change in velocity divided by the time. In this case, the change in velocity is 20-0 and the time i...

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Answered by Richard M. Physics tutor
4345 Views

The polynomial p(x) is given by p(x)=x^3 - 5x^2 - 8x + 48. Given (x+3) is a factor of p(x), express p(x) as a product of 3 linear factors.

This answer is easiest explained using the whiteboard in the interview. The question is basically asking for algebraic long division, we know (x+3) is a factor and are tasked with finding the other 2. We ...

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Answered by Richard M. Maths tutor
3631 Views

Expand and simplify the following: (2x+3)(2x+5)

Expanding this expression means multiplying the contents of the first bracket by the contents of the second. An easy way to remember this is using the FOIL method. FOIL stands for First, Outside, Inside, ...

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Answered by Richard M. Maths tutor
4888 Views

A ten-sided die with sides numbered 1-10 is thrown. What is the probability of throwing a 1?

There are 10 sides, therefore there are 10 options each roll for what side could be shown. In probability, this means we put 10 as the denominator in the fraction. Now the condition is that a 1 is shown a...

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Answered by Tutor83237 D. Maths tutor
7503 Views

Find the value of 5x - 3y when x = -2 and y = -4

This question is all to do with substitution. First, rewrite the question but in instead of writing x and y, put brackets. It will look like this: 5( ) -3( ) Now inside the brackets where x and y would go...

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Answered by Tutor83237 D. Maths tutor
12565 Views

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