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A new sports car accelerates using rockets at 5m/s for 30 seconds from some traffic lights and then decelerate for 45 seconds to a stop.

SUVAT Part (A) Part (B) S=? S=?U=0 U= Calc From A (V)V=? V= 0T=30s t=45sPart A: V=U+atV=0+530V= 150S=ut+at2S=0+530*30S=4500mPart B: S=(U+V)t/2S=7545S=3375mTotal Distance = 337...

MW
Answered by Matthew W. • Maths tutor
2751 Views

A game consists of 5 cups turned upside down, under one of the cups is a prize. 5 friend's pick a cup in turn and lifts it up, if they get the prize, they win , but if not, the cup is removed and the next friend picks. What position is it best to pick?

The first friend to choose has 5 cups to pick from and only 1 that will win them the prize, so their probability of winning is 1/5.The 2nd friend relies on the first friend to not win, this with a probabi...

AM
Answered by Alex M. • Maths tutor
2231 Views

Express cos(2x) in terms of acos^2(x) + b

cos(2x)=cos2(x) - sin2(x)use sin2(x) = 1 - cos2(x)so cos(2x)=cos2(x) - (1 - cos2(x))cos(2x)=2cos2(x) - 1so a = 2 and b = -1

Answered by • Maths tutor
3183 Views

Given that f(x) = x^2 (3x - 1)^(1/2) find f'(x)

This is an example of a question using the product rulelet u = x2 and v = (3x - 1)1/2then u' = 2x and v' = 3 X 1/2 (3x - 1)-1/2 using the product rule we get f'(x) = x

Answered by • Maths tutor
3633 Views

How do I know when to use sine, cos or tan when working with right angled triangles?

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