Distance traveled in nth second

Q. If a body starts from rest and travels $120\text{cm}$ in the $6^{th}$ second, then the acceleration of the body is

1. $0.2m/s^2$
2. $0.027m/s^2$
3. $0.218m/s^2$
4. $0.03m/s^2$

Q. A small block slides down on a smooth inclined plane, starting from rest at time $t=0.$ Let $S_n$ be the distance travelled by the block in the interval, $t=n-1$ to $t=n$, then, the ratio $\frac{S_n}{S_{n+1}}$ is

1. $\frac{2n}{2n-1}$
2. $\frac{2n-1}{2n}$
3. $\frac{2n-1}{2n+1}$
4. $\frac{2n+1}{2n-1}$

Q. The distance travelled by a particle starting from rest and moving with an acceleration $\frac{4}{3}{\text{m/s}}^2$, in the third second is

1. $\frac{10}{3}\text{m}$
2. $\frac{19}{3}\text{m}$
3. $6\text{m}$
4. $4\text{m}$

Q. A particle experiences a constant acceleration for $20\text{s}$ starting from rest. If it travels a distance $S_1$ in the first $10\text{s}$ and a distance $S_2$ in the next $10\text{s}$, then:

1. $S_1=S_2$
2. $S_1=\frac{S_2}{3}$
3. $S_1=\frac{S_2}{2}$
4. $S_1=\frac{S_2}{4}$

Q. A space shuttle moving at $2\text{m/s}$ at $t=0$ begins to accelerate at a constant rate of $2{\text{m/s}}^2$. If $S_n$ is the distance covered by it in the ${\text{n}}^{\text{th}}$ second, then:

1. $S_1+S_4>S_2+S_3$
2. $S_1+S_4=S_2+S_3$
3. $S_1+S_4<S_2+S_3$

Q. A body dropped from the top of a tower covers the distance $7x$ in the last second of its journey, where $x$ is the distance covered in $1\text{st}$ sec. How much time does it take to reach the ground ?

1. $3\text{sec}$
2. $4\text{sec}$
3. $5\text{sec}$
4. $6\text{sec}$

Q. A body covers $26$ and $28$ meters in ${10}^{th}$ and ${11}^{th}$ seconds respectively. The body starts

1. from rest and moves with uniform velocity.
2. from rest and moves with uniform acceleration.
3. with an initial velocity and moves with uniform acceleration.
4. with an initial velocity and moves with uniform velocity.

Q. A body dropped from the top of a tower covers the distance $7x$ in the last second of its journey, where $x$ is the distance covered in $1\text{st}$ sec. How much time does it take to reach the ground ?

1. $3\text{sec}$
2. $4\text{sec}$
3. $5\text{sec}$
4. $6\text{sec}$

Q. A body starting from rest moving with uniform acceleration has a displacement of $16\text{m}$ in first $4\text{s}$ and $9\text{m}$ in first $3\text{s}$. the acceleration of the body is

1. $1{\text{ms}}^{-2}$
2. $2{\text{ms}}^{-2}$
3. $3{\text{ms}}^{-2}$
4. $4{\text{ms}}^{-2}$

Q. The initial velocity of the particle is $10\text{m/sec}$ and its retardation is $2{\text{m/sec}}^2$. The distance moved by the particle in $5^{\text{th}}$ second of its motion is

1. $1\text{m}$
2. $19\text{m}$
3. $50\text{m}$
4. $75\text{m}$

Q. A car starts accelerating with an acceleration of $\frac{1}{3}{\text{m/s}}^2$ when its speed was $18\text{km/h}$. If the displacement of car in $n^{th}$ minute after it starts accelerating is $4.8\text{km},$ then $n$ is:

Q. A body is moving from rest under constant acceleration and let $S_1$ be the displacement in the first $(p-1)$ sec and $S_2$ be the displacement in the first p sec. The displacement in $(p^2-p+1{)}^{th}$ sec. will be

1. $S_1+S_2$
2. $S_1{S}_2$
3. $S_1-S_2$
4. $\frac{S_1}{S_2}$

Q.

The initial velocity of a particle is 10 m/sec and its retardation is 2 m/$se{c}^2$. The distance moved by the particle in $5^{th}$ second of its motion is

1. 1 m

2. 19 m

3. 50 m

4. 75 m