A small block slides without friction down an inclined plane starting from rest. Let {Sₙ} be dista

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2.Motion in Straight Line

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A small block slides without friction down an inclined plane starting from rest. Let ${S_n}$be the distance travelled from time $t = n - 1$ to $t = n.$ Then $\frac{{{S_n}}}{{{S_{n + 1}}}}$ is

A$\frac{{2n - 1}}{{2n}}$

B$\frac{{2n + 1}}{{2n - 1}}$

C$\frac{{2n - 1}}{{2n + 1}}$

D$\frac{{2n}}{{2n + 1}}$

(IIT-2004)

Solution

(C) Distance travelled in $t$ second is, $s_{t}=u+a t-\frac{1}{2} a$
Given, $u=0$
$\therefore \quad \frac{s_{n}}{s_{n+1}}=\frac{a n-\frac{1}{2} a}{a(n+1)-\frac{1}{2} a}=\frac{2 n-1}{2 n+1}$

Standard 11

Physics

A train starts from rest from a station with acceleration $0.2 \,m / s ^2$ on a straight track and then comes to rest after attaining maximum speed on another station due to retardation $0.4 \,m / s ^2$. If total time spent is half an hour, then distance between two stations is [Neglect length of train]

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A car moving along a straight highway with speed of $126 \;\mathrm{km} h^{-1}$ is brought to a stop within a distance of $200\; \mathrm{m}$. how long(in $seconds$) does it take for the car to stop?

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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

A body of mass $10\, kg$ is moving with a constant velocity of $10 \,m/s$. When a constant force acts for $4 \,seconds$ on it, it moves with a velocity $2 \,m/sec$ in the opposite direction. The acceleration produced in it is………..$m/{\sec ^2}$

easy

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easy

(AIPMT-2008)

A small block slides without friction down an inclined plane starting from rest. Let ${S_n}$be the distance travelled from time $t = n - 1$ to $t = n.$ Then $\frac{{{S_n}}}{{{S_{n + 1}}}}$ is

Solution

Similar Questions

A car moving along a straight highway with speed of $126 \;\mathrm{km} h^{-1}$ is brought to a stop within a distance of $200\; \mathrm{m}$. how long(in $seconds$) does it take for the car to stop?

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 ……..$s$

A body of mass $10\, kg$ is moving with a constant velocity of $10 \,m/s$. When a constant force acts for $4 \,seconds$ on it, it moves with a velocity $2 \,m/sec$ in the opposite direction. The acceleration produced in it is………..$m/{\sec ^2}$

The distance travelled by a particle starting from rest and moving with an acceleration $\frac{4}{3}$ $ms^{-2}$ in the third second is

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