A particle has acceleration meters per second squared for and velocity

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

Problem

A particle has acceleration a(t)=6t−2a(t)=6t-2 meters per second squared for t≥0t\ge 0 and velocity v(0)=4 m/sv(0)=4\ \text{m/s}. What is its velocity at t=3t=3 seconds? (a) 24 m/s24\ \text{m/s} (b) 52 m/s52\ \text{m/s} (c) 25 m/s25\ \text{m/s} (d) 21 m/s21\ \text{m/s}

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