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)t2-(12x2)t2+7

Implying v = 6t2-24t+7

TO

Related Maths GCSE answers

All answers ▸

White paint costs £2.80 per litre. Blue paint costs £3.50 per litre. White paint and blue paint are mixed in the ratio 3 : 2 Work out the cost of 18 litres of the mixture.


Solve 7x - 14 = 4x + 7


Expand the following (x+4)(x+2)


x^2-x-12