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A particle is moving along a straight line. The fixed point O lies on this line. The displacement of the particle from O at time t seconds is s metres where s = 2t3 – 12t2 + 7t(a) Find an expression for the velocity, v m/s, of the particle at time t.

To find velocity you differentiate displacement with respect to time Therefore ds/dt = v = (3x2)t 2 -(12x2)t 2 +7 Implying v = 6t 2 -24t+7
TO
Answered by Thomas O. • Maths tutor
24952 Views

Give the prime factorisation of 630

630 = 5 x 126 126 = 2 x 63 63 = 7 x 9 9 = 3 x 3 so 630 = 2 x 3 2 x 5 x 7
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Answered by Annie D. • Maths tutor
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Find the equation of the straight line which passes through the points (3,1) and (-1,3)?

The equation of a line is y=mx+c. The first step is to find m, which is the gradient. This is found by dividing the change in the y values, by the change in x values. So in this case, the gradient would be (...
JP
Answered by Joel P. • Maths tutor
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Find the roots of the following function: f(x)= 3*(x-1)^2 - 6.

In this question, we have to find the roots of f(x) or, in other words, its zeros. This means that we have to find all of the values of x for which f(x)=0. Therefore, the first step is to write down our equa...
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Answered by Karol W. • Maths tutor
5551 Views

I don't understand how to solve quadratic inequalities?

Let us look at an example so we can see what is going on as we go through the method. Be cautious of just memorising the method; understanding it will make your life far easier. Q: x 2 + 2x - 8 < 0 Intuit...
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Answered by Sara H. • Maths tutor
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