A-level Maths · Kinematics

Variable acceleration

Differentiate or integrate a polynomial in t to link displacement, velocity and acceleration.

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Question 1

A particle PP moves along a straight line. At time tt seconds its velocity is vv m s⁻¹, where v=3t2+6t+2v = 3t^{2} + 6t + 2. Find the displacement of PP between t=2t = 2 and t=3t = 3. Give your answer as an exact fraction or integer.

m

You can type 4.53, 3.2e-5, 3.2 × 10^-5 or 7/3.

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