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A roller coaster has a loop, r = 20m, how fast should it travel so that riders don't fall out?

For the riders to not fall out two forces acting on them must be equal, those forces being the gravity pulling them down towards Earth's surface and the centripetal force acting away from the centre of ro...

RW
Answered by Rebecca W. Physics tutor
3293 Views

Integrate x*cos(x)

As there are 2 x terms in the integral we will use integration by parts. Remember;  ∫u*(dv/dx)dx =  uv -  ∫v*(du/dx)dx (found by integrating the product rule). From xcos(x) we need to decide which x term ...

RW
Answered by Rebecca W. Maths tutor
8565 Views

Should I sit the BMAT in September or November?

Pros of September

• You know you score earlier. This is a benefit because if the BMAT goes badly you can just apply to one or none at all.

• Doesn't affect school work. With the way A-levels...

MS
5571 Views

"Solve cos(3x +20) = 0.6 for 0 < x < 360" - why are there more than one solution, and how do I find all of them?

The important part of this question is to really understand what the cosine function looks like, many students will use their calculators to find arccos(0.6) = 53.13 degrees, but not find the other soluti...

MF
Answered by Martyn F. Maths tutor
5682 Views

What's the point of writing my mathematics well if I don't get extra marks for it?

Although strictly speaking you get no extra marks for writing out your mathematics clearly and logically, getting into the habit of doing so can help your work in a lot of ways: 1. You ca...

OB
Answered by Oliver B. Maths tutor
3760 Views

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