(D) Let $u=0$ be the initial velocity and $a$ be the uniform acceleration of the body. Distance travelled in the first $t=2 \,s$ is: $x_1 = ut + \fr

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(D) Let $u=0$ be the initial velocity and $a$ be the uniform acceleration of the body. Distance travelled in the first $t=2 \,s$ is: $x_1 = ut + \frac{1}{2}at^2 = 0(2) + \frac{1}{2}a(2)^2 = 2a$ --- $(i)$ Velocity at the end of $2 \,s$ is: $v = u + at = 0 + a(2) = 2a$ --- (ii) Distance travelled in the next $2 \,s$ (from $t=2 \,s$ to $t=4 \,s$) with initial velocity $v=2a$ is: $x_2 = vt + \frac{1}{2}at^2 = (2a)(2) + \frac{1}{2}a(2)^2 = 4a + 2a = 6a$ Comparing $x_1$ and $x_2$: $x_2 = 6a = 3(2a) = 3x_1$ Thus, $x_2 = 3x_1$.

Class 11 Physics Motion in a Straight Line Uniformly Accelerated Motion

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$A$ body starts from rest and moves with uniform acceleration. If the distance travelled by it in the first $2 \,s$ is $x_1$ and in the next $2 \,s$ is $x_2$, then $x_1$ and $x_2$ are related as

AP EAMCET 2020 All AP EAMCET

A
$x_1=x_2$
B
$x_1=2 x_2$
C
$2 x_1=x_2$
D
$3 x_1=x_2$

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Motion in a Straight Line

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Uniformly Accelerated Motion

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$A$ particle of mass $1\,kg$ is moving along the $x-$axis,where its velocity depends on the $x-$coordinate as $v = 2\sqrt{x}\,m/s$. Find the net force acting on the particle $2\,s$ after the start of motion.

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$A$ body starts from rest and moves with uniform acceleration. If the distance travelled by it in the first $2 \,s$ is $x_1$ and in the next $2 \,s$ is $x_2$, then $x_1$ and $x_2$ are related as

Similar Questions

$A$ car moving with a speed of $40 \, km/h$ can be stopped by applying brakes after at least $2 \, m$. If the same car is moving with a speed of $80 \, km/h$,what is the minimum stopping distance in meters?

If the velocity $v$ of a particle moving along a straight line decreases linearly with its displacement $s$ from $20 \ m/s$ to a value approaching zero at $s=30 \ m$,then the acceleration of the particle at $s=15 \ m$ is $........$

$A$ lift is coming down from the $8^{th}$ floor and is just about to reach the $4^{th}$ floor. Taking the ground floor as the origin and the upward direction as positive for all quantities,which one of the following is correct?

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