Four persons $K,\,L,\,M$ and $N$ are initially at the corners of a square of side of length $d$. If every person starts moving, such that $K$ is always headed towards $L,\,L$ towards $M,\,M$ is headed directly towards $N$ and $N$ towards $K$, then the four persons will meet after
Four persons $K,\,L,\,M$ and $N$ are initially at the corners of a square of side of length $d$. If every person starts moving, such that $K$ is always headed towards $L,\,L$ towards $M,\,M$ is headed directly towards $N$ and $N$ towards $K$, then the four persons will meet after
- [IIT 1984]
- A
$\frac{d}{v}$ $sec$
- B
$\frac{{\sqrt {2d} }}{v}$ $sec$
- C
$\frac{d}{{\sqrt {2v} }}$ $sec$
- D
$\frac{d}{{2v}}$ $sec$
Similar Questions
On a calm day, a boat can go across a lake and return in time $T_0$ at a speed $V$. On a rough day, there is uniform current at speed $v$ to help the onward journey and impede the return journey. If the time taken to go across and return on the rough day be $T$, then $T / T_0$ is
On a calm day, a boat can go across a lake and return in time $T_0$ at a speed $V$. On a rough day, there is uniform current at speed $v$ to help the onward journey and impede the return journey. If the time taken to go across and return on the rough day be $T$, then $T / T_0$ is
Two particles start simultaneously from the same point and move along two straight lines, one with uniform velocity $v$ and other with a uniform acceleration $a$. If $\alpha$ is the angle between the lines of motion of two particles, then the least value of relative velocity will be at time given by
Two particles start simultaneously from the same point and move along two straight lines, one with uniform velocity $v$ and other with a uniform acceleration $a$. If $\alpha$ is the angle between the lines of motion of two particles, then the least value of relative velocity will be at time given by
A boy is running on the plane road with velocity $v$ with a long hollow tube in his hand. The water is failing vertically downwards with velocity $u$. At what angle to the vertical, he must incline the tube so that the water drops enter it without touching its sides?
A boy is running on the plane road with velocity $v$ with a long hollow tube in his hand. The water is failing vertically downwards with velocity $u$. At what angle to the vertical, he must incline the tube so that the water drops enter it without touching its sides?
In a harbour, wind is blowing at the speed of $72\; km/h$ and the flag on the mast of a boat anchored in the harbour flutters along the $N-E$ direction. If the boat starts moving at a speed of $51\; km/h$ to the north, what is the direction of the flag on the mast of the boat ?
In a harbour, wind is blowing at the speed of $72\; km/h$ and the flag on the mast of a boat anchored in the harbour flutters along the $N-E$ direction. If the boat starts moving at a speed of $51\; km/h$ to the north, what is the direction of the flag on the mast of the boat ?
A particle is moving such that its position coordinates $(x, y)$ are
$(2\, m, 3 \,m)$ at time $t = 0$
$(6\,m,7\,m) ,$ at time $ t=2 \,s$ and
$ (13\,m,14\,m),$ at $ t=5\,s$.
Average velocity vector $\vec v_{av}$ from $ t=0$ to $t= 5 $ is
A particle is moving such that its position coordinates $(x, y)$ are
$(2\, m, 3 \,m)$ at time $t = 0$
$(6\,m,7\,m) ,$ at time $ t=2 \,s$ and
$ (13\,m,14\,m),$ at $ t=5\,s$.
Average velocity vector $\vec v_{av}$ from $ t=0$ to $t= 5 $ is
- [AIPMT 2014]