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A cae is travelling along a straight line. It covers one-half of the total, distance with a velocity ` 10 km//h` . The remaining part of the distance was covered with velocity `12 ms^(-1)`. For half the time and with velocity ` 16 ms^(-1)` for the other half the tiem. Find the average speed over the whole time of motion. |
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Answer» Let (S) be total distance to be travelled by car. The taken by car to cover the distance ` S //2 ` with velocity ` Then S/2 = 12 xx t-2 /2 + 16 xx t_2 /2 = 14 t-2` or ` t_2 = S/928)` Total time taken , `T= t_1 = t_2 = S/ ( 20) = S/( 28) = ( 12S)/( 140)` ltbRgt Average speed ` = S /T = S/ ( 12 S// 140)` ` = ( 140)/( 12) = 11. 6 ms^(-1)`. |
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