CSEC Additional Mathematics · 2014 · Paper 2 · Question 8(b)(ii)
A particle travels along a straight line. It starts from rest at a point, P, on the line and after 10 seconds, it comes to rest at another point, Q, on the line. The velocity v m s⁻¹ at time t seconds after leaving P is v = 0.72t² - 0.096t³ for 0 ≤ t ≤5 and v = 2.4t-0.24t² for 5 ≤ t ≤ 10. At maximum velocity the particle has no acceleration.
Determine the maximum velocity.
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