Different Kinds of Motion

Q. Explain this point: For a particle moving in straight line, its acceleration must be along the same line.

Q. 9. How can an object have variable velocity with constant speed when exhibiting non uniform acceleration

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. 0 A particle is moving uniformly in a circular path ofradius r. When it moves through an angulardisplacement e then the magnitude of thecorresponding linear displacement will be34 Xx\lbrack WB JEE 2(b) 2r cot216(a) 2r cos2(d) 2r sinES(c) 2r tan22heel changes angular speed from 180nlera

Q. If a body travels with constant acceleration, which of the following quantities remains constant?

1. Displacement
2. Velocity
3. Time
4. None of these

Q. A truck starts from rest with an acceleration of $1.5{\text{m/s}}^2$ while a car 150 m behind the truck starts from rest win an acceleration of $2{\text{m/s}}^2$. How long will it take before both the truck and car meet?

1. $31.7\text{s}$
2. $24.5\text{s}$
3. $17\text{s}$
4. $12\text{s}$

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. 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 - x graph correct match is

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

Q. For a particle moving along $+x$-axis, which of the following velocity-position graphs is possible (position is represented by $x$ - coordinate of the particle)

1. 
2. 
3. 
4. None of these

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. 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 body started with velocity of $10{\text{ms}}^{–1}$ and moving with an acceleration of $1{\text{ms}}^{–2}$. The distance covered by the body in $7^{th}$ second is

1. $17.5\text{m}$
2. $16.5\text{m}$
3. $18.5\text{m}$
4. $20\text{m}$

Q. $(v-t)$ graph of a particle moving along $x$-axis is given. Its velocity-position graph if it starts from origin is

1. 
2. 
3. 
4. 

Q. A body started with velocity of $12\text{m/s}$ and moving with an acceleration of $2{\text{m/s}}^2$. The distance travelled by the body in the $8^{\text{th}}$ second is

1. $27\text{m}$
2. $20\text{m}$
3. $17\text{m}$
4. $24\text{m}$

Q. Two trains $Q$ and $P$ are moving along parallel tracks with same uniform speed of $20\text{m/s}$ .The driver of train $Q$ decides to overtake train $P$ and accelerates his train by $1{\text{m/s}}^2$. After $50\text{s}$, train $Q$ crosses the engine of train $P$. Given the length of each train is $400\text{m}$, the initial distance between the two trains was

1. $225\text{m}$
2. $375\text{m}$
3. $450\text{m}$
4. $700\text{m}$

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. $10$