(A) For body $A$ starting from rest (initial velocity $u=0$): $S_A = ut + \frac{1}{2}at^2 = 0 + \frac{1}{2}at^2 = \frac{1}{2}at^2$ For body $B$ moving

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(A) For body $A$ starting from rest (initial velocity $u=0$): $S_A = ut + \frac{1}{2}at^2 = 0 + \frac{1}{2}at^2 = \frac{1}{2}at^2$ For body $B$ moving with uniform velocity $V$: $S_B = Vt$ Since they meet at the same point after time $t$,their displacements must be equal: $S_A = S_B$ $\frac{1}{2}at^2 = Vt$ Dividing both sides by $t$ (assuming $t \neq 0$): $\frac{1}{2}at = V$ $t = \frac{2V}{a}$

Class 11 Physics Motion in Straight Line Uniformly Accelerated Motion

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Two bodies $A$ and $B$ start from the same point at the same instant and move along a straight line. Body $A$ moves with uniform acceleration $a$ and body $B$ moves with uniform velocity $V$. They meet after time $t$. The value of $t$ is

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A
$\frac{2V}{a}$
B
$\frac{a}{2V}$
C
$\frac{V}{2a}$
D
$\sqrt{\frac{V}{a}}$

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Motion in Straight Line

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Uniformly Accelerated Motion

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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 $........$

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$A$ particle starts moving with acceleration $2 \, m/s^2$. The distance travelled by it in the $5^{\text{th}}$ half-second is ....... $m$. (in $.25$)

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Two bodies $A$ and $B$ start from the same point at the same instant and move along a straight line. Body $A$ moves with uniform acceleration $a$ and body $B$ moves with uniform velocity $V$. They meet after time $t$. The value of $t$ is

Similar Questions

$A$ bullet fired into a fixed target loses half of its velocity after penetrating $3\,cm$. How much further will it penetrate before coming to rest,assuming that it faces constant resistance to motion? (in $cm$)

The velocity of an object is given by $v = kt$,where $k = 2 \, m/s^2$. What distance (in $m$) will it cover in the first $3 \, s$?

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 $........$

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