1.

a particle starts moving from rest state along a straight line under the action of a constant force and travels distance x in the first five seconds. The distance traveled by it in the next five seconds is

Answer»

Given u=0m/S
then
using \: second \: eq \: of \: motion \\ s =ut +   \frac{1}{2}a {t}^{2}  \\  u = 0 \\ x =  \frac{1}{2}  \times a \times <klux>5</klux> \times 5 \\ 12.5a = x \\ for \: 10sec \: from \: start \\ let \: <klux>DISTANCE</klux> \: be \: y \: in \: 10sec \\ then \\ y =  \frac{1}{2}  \times a \times 10 \times 10 = 50a \\  \frac{x}{y}  =  \frac{12.5a}{50a}  \\ 4x = y
hence distance TRAVELLED in next 5 sec
= Total distance in 10sec-total distance in first FIVE second
4x-x=3X
hence 3x is distance travelled



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