Different Kinds of Motion

Q.

What is the difference between momentum and impulse?

Q. A truck starts from rest with an acceleration of $1.5{\text{m/s}}^2$ while a car $150\text{m}$ behind starts from rest with an acceleration of $2{\text{m/s}}^2$. What is the distance travelled by the car before it gets side by side to the truck?

1. $300\text{m}$
2. $400\text{m}$
3. $600\text{m}$
4. $800\text{m}$

Q. A body is moving from rest under constant acceleration and let $S_1$ be the displacement in the first $(p–1)\text{sec}$ and $S_2$ be the displacement in the first $p\text{sec}$. The displacement in $(p^2–p+1{)}^{\text{th}}\text{sec}$ 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 body moving along a straight line is $7\text{m/s}$. It has a uniform acceleration of $4{\text{m/s}}^2$. The distance covered by the body in the $5^{\text{th}}$ second of its motion is

1. $25\text{m}$
2. $35\text{m}$
3. $30\text{m}$
4. $15\text{m}$

Q. A particle is moving in a straight line with initial velocity $u$ and uniform acceleration $f$. If the sum of the distances travelled in $t^{th}$ and $(t+1{)}^{th}$ seconds is $100\text{cm}$, then its velocity after $t$ seconds (in $\text{cm/s}$) is

1. $20$
2. $30$
3. $50$
4. $80$

Q. A body, moving in a straight line with an initial velocity of $5{\text{ms}}^{-1}$ and a constant acceleration, covers a distance of $30\text{m}$ in the $3^{rd}$ second. How much distance will it cover in the next $2$ seconds?

1. $70\text{m}$
2. $80\text{m}$
3. $90\text{m}$
4. $100\text{m}$

Q. A body $A$ starts from rest with an acceleration $a_1$ . After $3$ seconds, another body $B$ starts from rest with an acceleration $a_2$ . If they travel equal distances in the $6^{\text{th}}\text{second}$ after the start of $A$, then the ratio $a_1:a_2$ is equal to

1. $5:9$
2. $3:5$
3. $5:11$
4. $5:7$

Q. A body starts from rest and travels $s\text{m}$ in $2^{nd}$ second, then, acceleration is

1. $\frac{3s}{2}{\text{m/s}}^2$
2. $2s{\text{m/s}}^2$
3. $\frac{2s}{3}{\text{m/s}}^2$
4. $3s{\text{m/s}}^2$

Q. A particle having initial velocity $10\text{m/s}$ is moving with constant acceleration $4{\text{m/s}}^2$. The particle is moving in a straight line. Find the distance travelled by the particle in $7^{th}$ second of its motion

1. $10\text{m}$
2. $5\text{m}$
3. $28\text{m}$
4. $36\text{m}$

Q. A body, moving in a straight line with an initial velocity of $5{\text{ms}}^{-1}$ and a constant acceleration, covers a distance of $30\text{m}$ in the $3^{rd}$ second. How much distance will it cover in the next $2$ seconds?

1. $70\text{m}$
2. $80\text{m}$
3. $90\text{m}$
4. $100\text{m}$

Q. The body started with velocity of $8\text{m/s}$ and moving with an acceleration of $1{\text{m/s}}^2$. The distance travelled by the body in $6^{\text{th}}$ second is

1. $17.5\text{m}$
2. $13.5\text{m}$
3. $10.0\text{m}$
4. $18.5\text{m}$

Q. The initial velocity of a particle is $10\text{m/sec}$ and its retardation is $2{\text{m/sec}}^2$. The distance covered in the fifth second of the motion will be

1. $1\text{m}$
2. $9\text{m}$
3. $5\text{m}$
4. $7\text{m}$

Q. Assume that a car is able to stop with a retardation of $8{\text{m/s}}^2$ and that a driver can react to an emergency in $0.5\text{sec}$. Calculate the overall stopping distance of the car for a speed of $72\text{km/hr}$ of the car

1. $25\text{m}$
2. $10\text{m}$
3. $35\text{m}$
4. $30\text{m}$

Q. A body started with a velocity of $20m{s}^{-1}$ and moving with an acceleration of $2m{s}^{-2}$. The distance (in $\text{m})$ travelled by the body in the $8^{th}$ second is

1. $35$
2. $20$
3. $12$
4. $10$

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 $5^{\text{th}}\text{second}$ 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. Figure (i) and (ii) below show the displacement time graphs of two particles moving along the $x–$axis. We can say that

1. Both the particles are speeding up.
2. Both the particles are speeding down.
3. Particle (i) is speeding up while particle (ii) is speeding down.
4. Particle (i) is speeding down while particle (ii) is speeding up.

Q. Two cars $A$ and $B$ are at rest and at the same point initially. If $A$ starts with uniform velocity of $40\text{m/s}$ and $B$ starts in the same direction with constant acceleration of $4{\text{m/s}}^2$ , then $B$ will catch $A$ after the time

1. $10\text{s}$
2. $20\text{s}$
3. $30\text{s}$
4. $35\text{s}$

Q. A body, moving in a straight line with an initial velocity of $5{\text{ms}}^{-1}$ and a constant acceleration, covers a distance of $30\text{m}$ in the $3^{rd}$ second. How much distance will it cover in the next $2$ seconds?

1. $70\text{m}$
2. $80\text{m}$
3. $90\text{m}$
4. $100\text{m}$

Q. Figure (i) and (ii) below show the displacement time graphs of two particles moving along the $x–$axis. We can say that

1. Both the particles are speeding up.
2. Both the particles are speeding down.
3. Particle (i) is speeding up while particle (ii) is speeding down.
4. Particle (i) is speeding down while particle (ii) is speeding up.

Q. A car is moving with initial velocity $u=3\text{m/s}$ and acceleration $a=2m/s^2$ then, the displacement of car in $6^{th}$ second is

1. $8\text{m}$
2. $14\text{m}$
3. $10\text{m}$
4. $12\text{m}$

Q. List I gives some physical quantites, and List II gives some possible graphs

symbols have usual meaning i.e., a, v, x, t stands for acceleration, velocity, position and time. For given v - t graph correct match is? Where at t = 0, particle is at some positive position

1. $I\to U,II\to U,III\to U,IV\to Q$
2. $I\to P,II\to Q,III\to R,IV\to Q$
3. $I\to U,II\to P,III\to R,IV\to S$
4. $I\to U,II\to U,III\to U,IV\to S$

Q. A body starts from rest and travels $s\text{m}$ in $2^{nd}$ second, then, acceleration is

1. $\frac{3s}{2}{\text{m/s}}^2$
2. $2s{\text{m/s}}^2$
3. $\frac{2s}{3}{\text{m/s}}^2$
4. $3s{\text{m/s}}^2$

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 body started with velocity of $8\text{m/s}$ and moving with an acceleration of $1{\text{m/s}}^2$. The distance travelled by the body in $6^{\text{th}}$ second is

1. $17.5\text{m}$
2. $13.5\text{m}$
3. $10.0\text{m}$
4. $18.5\text{m}$

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. If body having initial velocity zero is moving with uniform acceleration of $8{\text{m/sec}}^2$, the distance travelled by it in fifth second will be

1. $36\text{m}$
2. $40\text{m}$
3. $30\text{m}$
4. $\text{Zero}$

Q. As a car passes the point $A$ on a straight road, its speed is $10\text{m/s}$. The car moves with constant acceleration $a{\text{m/s}}^2$ along the road for $T$ seconds until it reaches the point $B$, where its speed is $v\text{m/s}$. The car travels at this speed for a further $10$ seconds, when it reaches the point $C$. From $C$ it travels for a further $T$ seconds with constant acceleration $3a{\text{m/s}}^2$ until it reaches a speed of $20\text{m/s}$ at the point $D$. Choose the correct option(s).
[Given that the distance between $A$ and $D$ is $675\text{m}$]

1. value of $v$ is $12.5\text{m/s}$
2. value of $a$ is $\frac{1}{8}{\text{m/s}}^2$
3. value of $T$ is $10\text{s}$
4. value of $T$ is $20\text{s}$

Q. Consider a particle initially moving with a velocity of $5\text{m/s}$ starts decelerating at a constant rate of $2m/s^2$. Find the distance travelled in the $2^{nd}$ second.

1. $1\text{m}$
2. $5\text{m}$
3. $2\text{m}$
4. $8\text{m}$

Q. A body started with velocity of $20{\text{ms}}^{-1}$ and moving with an acceleration of $2{\text{ms}}^{-2}$. The distance travelled by the body in the $8^{th}$ second is

1. $35\text{m}$
2. $20\text{m}$
3. $45\text{m}$
4. $30\text{m}$

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

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