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  4. A particle start moving from rest state along a straight line under the action of a constant force and travel distance x in first 5 seconds. The distance travelled by it in next five seconds will be

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Q. A particle start moving from rest state along a straight line under the action of a constant force and travel distance $x$ in first $5$ seconds. The distance travelled by it in next five seconds will be

Motion in a Straight Line

Solution:

Body starts from rest and moves with a constant acceleration, then the distance travelled in equal time intervals will be in the ratio of odd number. (Galileo's law of odd number
$x_{1}: x_{2} \Rightarrow 1: 3$
$x: x_{2} \Rightarrow 1: 3$
$\Rightarrow \frac{x}{x_{2}}=\frac{1}{3}$
$\Rightarrow x_{2}=3 x$