A particle moves along the -axis with velocity (in meters per second) for

MATHEMATICS · Single correct · A Level · Mathematics · Kinematics · Kinematics

Problem

A particle moves along the xx-axis with velocity v(t)=3t2−4t+1v(t)=3t^{2}-4t+1 (in meters per second) for t≥0t\ge 0. What is the particle’s acceleration at t=2 st=2\text{ s}? (a) −8 m/s2-8\text{ m/s}^2 (b) 8 m/s28\text{ m/s}^2 (c) 6 m/s26\text{ m/s}^2 (d) 5 m/s25\text{ m/s}^2

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