Question 1 :
A balloon rises from rest with a constant acceleration {tex}\frac{g}{8}{/tex}. A stone is released from it when it has risen to height <em>h</em>. The time taken by the stone to reach the ground is
Question 2 :
A body is in rectilinear motion with an acceleration given by <em>a</em> = 2<em>v</em><sup>3/2</sup>. If particle starts its motion from origin with a velocity of 4 ms<sup>–1</sup>, the position <em>x</em> of the particle at an instant in terms of <em>v</em> can be given as
Question 3 :
If the velocity of a particle is (10 + 2<em>t</em><sup>2</sup>) m/s, then the average acceleration of the particle between 2s and 5s is
Question 4 :
The roadway bridge over a canal is in the form of a circular arc of radius 18 m. What is the greatest speed with which a motorcycle can cross the bridge without leaving the ground?
Question 5 :
A stone is allowed to fall from the top of a tower and cover half the height of the tower in the last second of its journey. The time taken by the stone to reach the foot of the tower is
Question 6 :
A body starts from rest and travels with uniform acceleration such that it covers 8 m during the 2<sup>nd</sup> second. During the 5<sup>th</sup> second it would travel
Question 7 :
A particle is moving eastwards with a velocity of {tex} 4 \mathrm { m } / \mathrm { s } . {/tex} In 5{tex} \mathrm { s } {/tex} the velocity changes to 3{tex} \mathrm { m } / \mathrm { s } {/tex} northwards. The average acceleration in this time interval is
Question 9 :
A particle of mass m revolves in a circle of radius r with a uniform speed ν, then its velocity vector -
Question 10 :
The two ends of a train moving with constant acceleration pass a certain point with velocities <em>u</em> and <em>v</em>. The velocity with which the middle point of the train passes the same point is
Question 11 :
A particle comes round circle of radius 1 m once. The time taken by it is 10 sec. The average velocity of motion is
Question 12 :
The magnitude of displacement is equal to the distance covered in a given internal of time if the particle
Question 13 :
A cylindrical vessel partially filled with water is rotated about its vertical central axis. It's surface will
Question 14 :
If a particle is projected from origin and it follows the trajectory {tex}y = x - \frac{1}{2}x^{2}{/tex}, then the time of flight is (<em>g</em> = acceleration due to gravity)
Question 15 : A ball moves along an uneven horizontal road with fixed speed at all points on the road. The normal reaction of the road on the body at two different points A and B is <br><img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e75e61eb5f89758f2d4efc1' height='115' width='193' >
Question 16 :
A body starts from origin and moves along x axis such that at any instant, velocity is {tex}v_{t} = 4t^{3} - 2t{/tex} where t is in second and {tex}v_{t}{/tex} is in {tex}ms^{-1}{/tex}. The acceleration of the particle when it is 2 m from origin is
Question 17 : A particle is moving on a circular path of radius {tex} r {/tex} with uniform velocity {tex} v {/tex}. The change in velocity when the particle moves from {tex} P {/tex} to {tex} Q {/tex} is {tex} \left( \angle P O Q = 40 ^ { \circ } \right) {/tex}<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5dc4f1bd4548337453d213d6"><br>
Question 18 :
A particle is thrown with a speed of 12 m/s at an angle 60<font face="Symbol">°</font> with the horizontal. The time interval between the moments when its speed is 10 m/s is (<em>g</em> = 10 m/s<sup>2</sup>)
Question 19 :
A balloon is moving vertically upward with a velocity of 4{tex} \mathrm { m } / \mathrm { s } {/tex} . When it is at a height of {tex} h , {/tex} a stone is dropped from it. If it reaches the ground in 4{tex} \mathrm { s } {/tex} , the height of the balloon, when the stone is released, is {tex} \left( g = 9.8 \mathrm { m } / \mathrm { s } ^ { 2 } \right) {/tex}
Question 20 :
At a metro station, a girl walks up a stationary escalator in time {tex} t _ { 1 } . {/tex} If she remains stationary on the esca- lator, then the escalator takes her up in time {tex} t _ { 2 } . {/tex} The time taken by her to walk up on the moving escalator will be
Question 21 :
A force of 10 N act on a body of mass 5 kg what is displacement after 2 second when particle is initially at rest.<br/>
Question 22 :
A particle is dropped vertically from rest from a height. The time taken by it to fall through successive distances of {tex} 1 \mathrm { \ m } {/tex} each will then be
Question 23 :
In a harbour, wind is blowing at the speed of {tex}72 \mathrm { km } / \mathrm { h } {/tex} and the flag on the mast of a boat anchored in the harbour flutters along the {tex} \mathrm { N } - \mathrm { E } {/tex} direction. If the boat starts moving at a speed of {tex}51 \mathrm { km } / \mathrm { h } {/tex} to the north, what is the direction of the flag on the mast of the boat?
Question 24 :
Relation to another coordinate system $\mathrm{S}_{2}$ (denoted by double primes) having an acceleration $-\overline{\mathrm{g}}$, and coincident with the original coordinate system $\mathrm{S}_{0}$ at $\mathrm{t}=0$, the equation of the object becomes<br/>
Question 25 : A ring moves in a horizontal circle of radius r with a velocity ω in free space the tension is <br><img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e75e5fab5f89758f2d4ef9a' height='141' width='175' >
