Question 1 :
A passenger in a moving train tosses a coin. If the coin falls behind him, the train must be moving with
Question 2 :
A stone is thrown upwards with a velocity $50 mg^{-1}$. Another stone is simultaneously thrown downwards from the same location with a velocity $50 ms^{-1}$. When the first stone is at the highest point, the relative velocity of the second stone w.r.t. the first stone is:
Question 3 :
When two bodies move uniformly towards each other, the distance decreases by $6ms^{-1}$.If both bodies move in the same direction with the same speed as above the distance between them increases by $4ms^{-1}$. Then the speed of the two bodies are
Question 4 :
Consider a car traveling west at 60 MPH. The passenger throws a ball in the same direction the car is traveling. If the passenger clocks the speed of the ball at 40 MPH, what is the speed of the ball relative to the road?<br>
Question 5 :
Two cars are moving in the same direction with the same speed $30km/hr$. They are separated by a distance of $5km$ the speed of a car moving in the opposite direction if it meets these two cars at interval of 4 minutes, will be:
Question 6 :
A bus moving with a speed of $10m/s$ on a straight road. A scooterist wishes to overtake the bus in $100s$. If the bus is at a distance of $1km$ from the scooterist, with what speed should the scooterist chase the bus?
Question 7 :
A purple car is moving three times as fast as a yellow car. Each car slows down to a stop with the same constant acceleration.<br>How much more distance is required for the purple car to stop?
Question 8 :
Three bodies $A, B$ and $C$ are moving in a straight line in the same direction such that relative velocity of $A$ w.r.t $B$ is $2m/s$, relative velocity of $B$ w.r.t $C$ is $5m/s$.<br/>Find the relative velocity of $C$ w.r.t $A$. 
Question 9 :
If two particles of masses $3kg$ and $6kg$ which are at rest are separated by a distance of $15m$. The two particles are moving towards each other under a mutual force of attraction. Then the ratio of distances travelled by the particles before collision is <br/>
Question 10 :
When a man stands on a moving escalator he goes up in $50\ sec.$ and when he walks up the moving escalator he goes up in $30\ sec.$ Then the man walks up the stationary escalator in a time of $----sec$
Question 11 :
At an airport, a bored child starts to walk backwards on a moving platform. The child accelerates relative to the platform with $a=-0.5{m}/{{s}^{2}}$ relative to the platform.<br>The platform moves with a constant speed $v=+1.0{m}/{s}$ relative to the stationary floor.<br>In $4.0$ seconds, how much will the child have been displaced relative to the floor?
Question 12 :
A helicopter is flying south with a speed of $50\, km h^{-1}$. A train is moving at the same speed towards east. The relative velocity of the helicopter as seen by the passengers in the train will be towards
Question 13 : <p>A helicopter is flying south with a speed of $50\ kmh^{-1}$. A train is moving with the same speed towards east. The relative velocity of the helicopter as seen by the passengers in the train will be $50 \sqrt {2}\ kmh^{-1}$ towards</p>
Question 14 :
A block of mass $2\ kg$ starts moving with initial speed of $10\ m/s$ and accelerates at $-2 m/s^2$. How far does the object travel before coming to rest? <br/>
Question 15 :
An elevator is moving up with $2.5 m{ s }^{ -1 }$. A bolt in the elevator ceiling $3\ m$ above the elevator falls. How long (in seconds) does it take for the bolt to fall on the floor of the elevator?<br>
Question 16 :
A block of mass $2\ kg$ starts moving with initial speed of $10\ m/s$ and accelerates at $-2 m/s^2$. How much time will pass until it comes to rest? 
Question 17 :
A bowling ball is rolling westward and slowing down as it approaches the end of the alley. The direction of the bowling ball's acceleration is :
Question 18 :
A boy can throw a stone up to a maximum height of 10 m. The maximum horizontal distance that boy throw the same stone up will be
Question 19 :
A motorcycle is moving with a velocity 80km/hr ahead of a car moving with a velocity of 65 km/hr in the same direction. What is the relative velocity of the motorcycle with respect to the car :-
Question 20 :
A train is moving towards east and a car is along north, both with same speed. The observed direction of car to the passenger in the train is 
Question 21 :
At an airport, a bored child starts to walk backwards on a moving platform. The child accelerates relative to the platform with $a =  - 0.5m/{s^2}$ relative to the platform. The platform moves with a constant speed $v =  + 1.0m/s$ relative to the stationary floor. In $4.0$ seconds, how much will the child have been displaced relative to the floor?
Question 22 :
Two objects of mass ratio $1 :4$ are dropped from the same height. Then<br/>
Question 23 :
A particle is moving along a straight line path according to the relation :${ s }^{ 2 }=a{ t }^{ 2 }+2bt+c$ where $s$ represents the distance travelled in $t$ seconds and $a$, $b$, $c$ are constants. Then the acceleration of the particle is given as
Question 24 :
A body thrown up with some initial velocity reaches a maximum height of $50\;m$. Another body with double the mass thrown up with double the initial velocity will reach a maximum height of :
Question 25 :
How long does it take the car to pass it ? (in min)
Question 26 :
What is maximum height of a stone thrown vertically upward, if its velocity is halved in 1.5 s? (g = 10 $ m/s^2 $ )
Question 27 :
A body is thrown vertically up to reach its maximum height in $t$ seconds. The total time from the time of projection to reach a point at half of its maximum height while returning ( in seconds ) is
Question 28 :
A thief is running away on a straight road is jeep moving with a speed of $9\ ms^{-1}$. A policeman on motor cycle chases him at a speed of $10\ ms^{-1}$. If at any instant the separation between the jeep and the motorcycle is $100\ m$, then in what time the policeman catch the thief?
Question 29 :
A body is thrown vertically upwards and takes $5$ seconds to reach maximum height. The distance travelled by the body will be same in :
Question 30 :
A metal ball falls from a height of 1 m on to a steel plate and jumps upto a height of 81 cm. The coefficient of restitution of the ball material is?
Question 32 :
A swimmer is capable of swimming $1.65$ $ms^{-1}$ in still water. If she swims directly across a $180$m wide river whose current is $0.85$ m/s, how far downstream(from a point opposite her standing point) will she reach?
Question 33 :
A 13$\mathrm { N }$ weight and 12$\mathrm { N }$ weight are connected by a massless string over a massless, frictionless pulley.The 13$\mathrm { N }$ weight has a downward acceleration with magnitude equal to that of a freely falling body, times.
Question 34 :
A body of mass 5$\mathrm { kg }$ is moving with a velocity 20$\mathrm { m } / \mathrm { s } .$ If a force of 100$\mathrm { N }$ is applied to it for 10 s in the same direction as its velocity, what will be the velocity of the body?
Question 35 :
A particle is projected vertically upwards and reaches the maximum height $H$ at a time $t=T$. The height of the particle at any time $t (< T)$ will be<br/>
Question 36 :
A thief in a stolen car passes through a police check post at his top speed of $\displaystyle 90\ kmh^{-1}.$ A motorcycle cop, reacting after $2\ s$, accelerates from rest at $\displaystyle 5\ ms^{-2}.$ His top speed being $\displaystyle 108\ kmh^{-1}.$ Find the maximum separation between policemen and thief.<br/>
Question 37 :
Two particles $P$ and $Q$ move in a straight line $AB$ towards each other. $P$ starts from $A$ with velocity $u_{1}$, and an acceleration $a_{1}$, $Q$ starts from $B$ with velocity $u_{2}$ and acceleration $a_{2}$.They pass each other at the midpoint of $AB$ and arrive at the other ends of $AB$ with equal <i></i>velocities
Question 38 :
There is a regular bus service between towns A and B, with a bus leaving towns A and B every $T$ minutes. A cyclist moving with a speed of $20\ km h^{-1}$ in the direction A to B notices that a bus goes past him every $18  mins$ in his direction and every $6  mins$ in the opposite direction. What is the period $T$ of bus service?
Question 39 :
A ball is released from the top of a tower of height h metres. It takes $T$ seconds to reach the ground. What is the position of the ball in $\dfrac{T}{3}$ seconds?
Question 40 :
A car goes down a certain road at an average speed of $40 km/h$ and returns along the same road at an average speed of $60 km/h$.  Calculate the average speed for the round trip. (in km/h)
