Two cars, X and Y

MATHEMATICS · Multi-part · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

Two cars, X and Y, travel along a straight road. Their velocities (in

\text{m}\,\text{s}^{-1}

) vary with time

t

(in

\text{s}

) according to

v_X = 2t + 4

v_Y = 10

. (i) At what instant are their speeds equal? (ii) Which car covers the greater displacement during the first

6\,\text{s}

of motion?