Distance traveled in nth second

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 initial velocity of a body moving along a straight line is$7m/s$. It has a uniform acceleration of$4m/s^2$ The distance covered by the body in the$5th$ second of its motion is

1. $25m$

2. $35m$

3. $50m$

4. $85m$

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. 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. The initial velocity of a body moving along a straight line is 7 $\frac{m}{s}$. It has a uniform acceleration of 4 $\frac{m}{s^2}$. The distance covered by the body in the $5^{th}$ second of its motion is

1. $25m$
2. $35m$
3. $50m$
4. $85m$

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. The ratio of distances covered by a freely falling body (starting from rest) during the $1^{\text{st}},2^{\text{nd}},3^{\text{rd}}$ second of its motion is: [Take $g=10{\text{m/s}}^2$]

1. $3:6:9$
2. $1:3:5$
3. $2:3:5$
4. $1:3:7$

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. The initial velocity of a body moving along a straight line is 7 $\frac{m}{s}$. It has a uniform acceleration of 4 $\frac{m}{s^2}$. The distance covered by the body in the $5^{th}$ second of its motion is

1. $25m$
2. $35m$
3. $50m$
4. $85m$

Q. The initial velocity of a particle is $10\text{m/s}$ and its retardation is $2{\text{m/s}}^2$. 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 body A starts from rest with an acceleration $a_1$. After 2 seconds, another body B starts from rest with an acceleration $a_2$. If they travel equal distances in the $5^{th}$ second, after the start of A, then the ratio $a_1:a_2$ is equal to

1. 5 : 9
2. 5 : 7
3. 9 : 5
4. 9 : 7

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 particle is dropped from the tower. The distance travelled by it in the last second is $15\text{m}$. The height of the tower is
[Take $g=10{\text{m/s}}^2$]

1. $22.5\text{m}$
2. $20\text{m}$
3. $25\text{m}$
4. $30\text{m}$

Q. A body is freely falling under the action of gravity. It covers half the total distance in the last second of its fall. If it falls for $n$ second, then the value of $n$ is

1. $\sqrt{2}$
2. $2+\sqrt{2}$
3. $2$
4. $2-\sqrt{2}$

Q. A body moving in a straight line with constant acceleration of $10{\text{ms}}^{-2}$ covers a distance of $40\text{m}$ in the $4^{th}$ second. How much distance will it cover in the $6^{th}$ second?

1. $50\text{m}$
2. $60\text{m}$
3. $70\text{m}$
4. $80\text{m}$

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 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 $A$ starts from rest with an acceleration $a_A$. After 2 seconds, another body $B$ starts from rest with an acceleration $a_B$. If they travel equal distances in the $5^{th}$ second, after the start of $A$, then the ratio $a_A:a_B$ is equal to

1. $5:9$
2. $5:7$
3. $9:5$
4. $9:7$