Question 1 : The velocity of a body is given by the equation v = 6 - 0.02 t, where t is the time taken. What does the body undergo?

Question 2 : In the projectile motion , if air resistance is ignored , the horizontal motion is at

Question 3 : A ball falls from a table top with initial horizontal speed $$V_o$$. In the absence of air resistance, which of the following statement is correct.

Question 4 : Assertion (A): In the motion of projectile the horizontal component of velocity remains constant Reason (R) : The force on the projectile is the gravitational force which acts only in the vertically downward direction

Question 5 : Universal gravitational constant is given by $$6.67\times { 10 }^{ -11 }N{ m }^{ 2 }{ kg }^{ -2 }$$. Then the no. of significant figures in it is:

Question 6 : The proper value of significant figures in $$38.0+ 0.0035 + 0.00003$$ is:

Question 7 : The side of a cube is $$2.5$$ metre, the volume of the cube to the correct significant figures is :

Question 8 : With due regards to significant figures $$ 5.4 \times 0.125$$ is equal to:<br/>

Question 10 : It &#160;is difficult for a fireman to hold a hose pipe which ejects large amounts of water at high velocity due to :<br/>

Question 13 : State whether true or false.<br/>An increase in the base area leads to the decrease in stability of the object.

Question 14 : Deformation of surfaces occurs due to which type of friction among the following?

Question 15 : A body of mass M collides with a wall with velocity&#160;V and rebounds with the same speed.&#160;Its change in momentum is equal to :<br/>

Question 16 : If impulse $$I$$ varies with time $$t$$ as $$f (kg ms^{-1})=20t^2 - 40t$$. The change in momentum is minimum at

Question 17 : A high pressure tire rolls more easily than a&#160;low pressure tire because:

Question 18 : A machine gun fires n bullets per second and the mass of each bullet is m. If v is the speed of each bullet then force exerted on machine gun is

Question 19 : A block of mass $$m$$ slides down a plane inclined at an angle $$\theta $$ . Which of the following will NOT increase the energy lost by the block due to friction?

Question 20 : Consider a jet traveling at 1000 km/hr. If the jet shoots a laser in the same direction it is traveling, how fast will the laser be traveling relative to the ground?<br>

Question 22 : The acceleration of a body projected upwards with a certain velocity is

Question 23 : 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 24 : Assertion - The sound emitted by the source travels in all directions.<br>Reason - The relative velocity of sound with respect to the observer is the sum of velocity of sound and velocity of observer.<br>

Question 25 : The ratio of the distances travelled by a body starting from rest and moving with uniform acceleration in the first, third and fifth seconds of its journey is:

Question 26 : A body is dropped from the roof of a multi-storeyed&#160;building. It passes the ceiling of the $$15^{th}$$ storey&#160;at a speed of $$20\ m/s$$ . If the height of each storey&#160;is $$ 4\ m$$, the number of storeys in the building is (take $$g &#160;=&#160;10\ m/s^2$$ and neglect air resistance)

Question 27 : A body is in motion and it is stopped by applying retarding force. Initial speed and magnitude of force applied are as given below :<br/><table class="wysiwyg-table"><tbody><tr><td>Speed</td><td>Force</td></tr><tr><td>V</td><td>F</td></tr><tr><td>2V</td><td>F/2</td></tr><tr><td>V/2</td><td>2F</td></tr></tbody></table><br/>If&#160;$$S_{1}$$, $$S_{2}$$,&#160;$$S_{3}$$&#160;are the distance travelled before coming to rest, those can be arranged in ascending order as given below

Question 28 : A 2 kg mass moving on a smooth frictionless surface with a velocity of $$10 ms^{-1}$$ hits another 2 kg mass kept at rest, in an inelastic collision. After collision, if they move together,

Question 29 : A ball is thrown up vertically after going to a certain height, it returns to the ground, then its potential energy is maximum.

Question 30 : A block of mass 3 $$kg$$ is released from the rest at top of the inclined plane. If length and height of the inclined plane is 6 m and 4 m respectively. Calculate its speed at the bottom of inclined plane. Assume the force of friction 16 N on the block is a constant.

Question 31 : A body dropped freely from a height h onto a horizontal plane, bounces up and down and finally comes to rest. The coefficient of restitution is e, the ratio of distance travelled in two consecutive rebounds

Question 32 : A bullet fired into a fixed target loses half of its velocity after penetrating $$3cm$$. How much further it will penetrate before coming to rest assuming that it faces constant resistance to motion?

Question 33 : Two elastic bodies P and Q having equal masses are moving along the same line with velocities of 16 m/s and 10m/s respectively. Their velocities after the elastic collision will be in m/s :

Question 34 : In two separate collisions, the coefficients of&#160;restitution are $$e_{1}$$ and $$e_{2}$$ are in the ratio $$3:1$$. In the first collision the relative velocity of approach is twice the relative velocity of separation, then the ratio between relative velocity of approach and the relative velocity of separation in the second collision is :<br/>

Question 35 : The resultant of two forces 3P and 2P is R. If the first force is doubled then the resultant is also doubled. The angle between the two forces is