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
Answered by Thomas O. Maths tutor

23931 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Prove that the sum of four consecutive whole numbers will always be even.


Simplify: 5x + 8y - 3x + 9y


I’m having some trouble understanding functions. Mainly concerning how to know what the input and outputs are. Could you give me an explanation?


Show that y=3x-2 and 3y-9x+5=0 are parallel.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning