Two stones are thrown up simultaneously with initial speeds of ' u₁ and u₂left(u₂

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2.Motion in Straight Line

hard

Two stones are thrown up simultaneously with initial speeds of ' $u_1$ and $u_2\left(u_2 > u_1\right)$. They hit the ground after $6\,s$ and $10\,s$ respectively. Which graph in figure correctly represents the time variation of $\Delta x=\left(x_2-x_1\right)$, the relative position of the second stone with respect to the first upto $t=10\,s$ ? Assume that the stones do not rebound after hitting the ground.

Solution

(a)
Initially relative acceleration between them is zero, so distance between them will increase linearly. Later when one stone strikes the ground relative acceleration is $g$ so distance will decrease parabolically.

Standard 11

Physics

Two cars leave one after the other and travel with an acceleration of $0.4\, m/s^2$. Two minutes after the departure of the first, the distance between the cars becomes $1.9\, km$. The time interval between the departures of the cars is ……..$s$

hard

$x-t$ graph for a uniformly accelerated particle is as shown in the figure. Then find the average velocity between points $(i)$ and $(ii)$ ……… $ms^{-1}$

hard

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

medium

(AIPMT-1998)

A particle moving with uniform acceleration travels $24\, m$ and $64\, m$ in the first two consecutive intervals of $4\, sec$ each. Its initial velocity is…….$m/sec$

medium

If a train travelling at $72\,\, kmph$ is to be brought to rest in a distance of $200$ metres, then its retardation should be…………$m{s^{ – 2}}$

easy

Solution

Similar Questions

Two cars leave one after the other and travel with an acceleration of $0.4\, m/s^2$. Two minutes after the departure of the first, the distance between the cars becomes $1.9\, km$. The time interval between the departures of the cars is ……..$s$

$x-t$ graph for a uniformly accelerated particle is as shown in the figure. Then find the average velocity between points $(i)$ and $(ii)$ ……… $ms^{-1}$

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

A particle moving with uniform acceleration travels $24\, m$ and $64\, m$ in the first two consecutive intervals of $4\, sec$ each. Its initial velocity is…….$m/sec$

If a train travelling at $72\,\, kmph$ is to be brought to rest in a distance of $200$ metres, then its retardation should be…………$m{s^{ – 2}}$

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