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A particle, P, moves along the x-axis. At time t seconds, t > 0, the displacement, is given by x=1/2t^2(t ^2−2t+1).

Find the times when is instantaneously at rest.In order to solve this question we first have to multiply out in order to obtain the full expression of x which will be x = 1/2t^4 -2t^3+1/2t^2. N...

AK
Answered by Aleksander K. Maths tutor
18544 Views

Comound interest: A car is bought for the price of £12 000, but its value depreciates every year by 8%. Calculate, how much will the car be worth in 5 years

The question states the value of the car depreciates every year by 8%. This means that from the original, 100% value of the car in a set year, every consecutive year the value will decrease by 8% so that ...

VB
Answered by Victoria B. Maths tutor
4361 Views

How to find LCM and HCF of two numbers

Take numbers 24 and 36 for example.First we'd need to find the prime factors of each of the two numbers which can be done through factor trees24 = 23x 336 = 22 x 32What we...

NI
Answered by Nafi I. Maths tutor
3003 Views

Given that 3cm and 4cm are the shorter sides of a right-angled triangle, find the length of the hypotenuse.

When given 2 known sides of a right angled triangle, we can use Pythagoras' Theorem to find the last unknown side. The formula follows as below:A2 = B2 + C2Where A represe...

HH
Answered by Hamzah H. Maths tutor
5376 Views

A is the point with coordinates (5, 9) B is the point with coordinates (d, 15) The gradient of the line AB is 3 Work out the value of d.

To work out the coordinates of point B, you need to look at all of the information that is given in the question.The question tells you that the gradient of the line is 3, which implies that we need to us...

SC
Answered by Sophie C. Maths tutor
8351 Views

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