A car moves such that its displacement from the origin is given by metres

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

A car moves such that its displacement from the origin is given by x(t)=5+3tx(t)=5+3t metres. What is the ratio of its instantaneous velocity at t=7 st=7\,\text{s} to its average velocity between t=0t=0 and t=10 st=10\,\text{s}? (a) 0.70.7 (b) 11 (c) 83\dfrac{8}{3} (d) 67\dfrac{6}{7}

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