Question 1 :
If position (in meter) of a particle moving in straight line is given by {tex} x = t ^ { 2 } - 2 t + 1 {/tex} (where {tex} t {/tex} is time in second). The distance travelled by particle in first two second is
Question 2 :
A pebble is thrown vertically upwards from a bridge with an initial velocity of 10 ms<sup>–1</sup>. It strikes water after 5s. The height of the bridge is (<em>g</em> = 10 m/s<sup>2</sup>)
Question 3 :
Two bodies are projected vertically upwards from one point with the same initial velocities <em>v</em><sub>0</sub> m/s. The second body is thrown τ s after the first. The two bodies meet after time
Question 4 :
A particle is projected from ground with velocity {tex}\text{40}\sqrt{2}{/tex} m/s at 45<font face="Symbol">°</font>. At time <em>t</em> = 2 s:
Question 5 :
The projectiles <em>A</em> and <em>B</em> thrown with velocities <em>v</em> and {tex}\frac{v}{2}{/tex}have the same range. If <em>B</em> is thrown at an angle of 15<font face="Symbol">°</font> to the horizontal, <em>A</em> must have been thrown at an angle
Question 6 :
A boat which has a speed of 5 m/s in still water crosses the river of width 25 m in 10 seconds. The boat is heading at an angle of α with downstream, where α is equal to
Question 7 :
A particle is moving in a circle of radius 1 m with speed varying with time as <em>v</em> = (2<em>t</em>) m/s. In first 2 <em>s</em>
Question 8 :
The Earth rotates from west to east. A wind mass begins moving due north from the equator, along the Earth's surface. Neglect all effects other than the rotation of the earth. The wind mass will
Question 9 :
The initial velocity of a body moving along a straight line is 7 m/s. It has a uniform acceleration of 4m/s<sup>2</sup>. The distance covered by the body in the 5<sup>th</sup> second of its motion is
Question 10 :
A bullet is fired horizontally from a rifle at a distant target. Ignoring the effects of air resistance, what are the horizontal and vertical accelerations of the bullet? Horizontal vertical
Question 11 : Trajectories of two projectiles are shown in the figure. Let T<sub>1</sub> and T<sub>2</sub> be the time of flights and u<sub>1</sub> and u<sub>2</sub>be their speeds of projection. Then - <br><img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e75e824491ec95800698151' height='76' width='111' >
Question 12 :
During an accelerated motion of a particle (initial velocity of particle is zero)
Question 13 :
A vehicle moves west with a speed of 50 ms<sup>-1</sup> and then towards north with a speed of 50 ms<sup>-1</sup> only. Total time taken by the body is 5s. What is the average acceleration of the body?
Question 14 :
A person can throw a stone to a maximum distance of R meter. The greatest height to which he can throw the stone is -
Question 15 :
A body is projected at an angle of 30<sup>0</sup> with the horizontal with momentum p. At its highest point, the momentum is -
Question 16 :
A particle is projected with a velocity <em>v</em> such that its range on the horizontal plane is twice the greatest height attained by it. The range of the projectile is (where <em>g</em> is acceleration due to gravity)
Question 17 :
A body is whirled in a horizontal circle of radius 20 cm. It has angular velocity of 10 rad/s. What is its linear velocity at any point on circular path
Question 18 :
A ball is projected vertically upwards such that it attains a height of {tex} h {/tex} after 5s and 9s of its motion. The speed of projection is {tex} \left( g = 10 \mathrm { ms } ^ { - 2 } \right) {/tex}
Question 19 :
Which of the following sets of factors will affect the horizontal distance covered by an athlete in a long-jump event
Question 20 :
A bullet is fired horizontally with a velocity of 80m/s. During the first second -
Question 21 :
The retardation of a particle moving in a straight line is proportional to its displacement (proportionality con- stant being unity). Initial velocity of the particle is {tex} v _ { 0 } {/tex} . Find the total displacement of the particle till it comes to rest.
Question 22 :
A football is kicked into the air vertically upwards with velocity u. The velocity of the ball at the highest point is
Question 23 :
The position of a particle as a function of time is {tex} \vec { r } = 4 \sin 2 \pi t \hat { i } + 4 \cos 2 \pi t \hat { j } {/tex} (where {tex} t {/tex} is time in second). Path of this particle will be
Question 24 :
A man running uniformly at 8{tex} \mathrm { m } / \mathrm { s } {/tex} is 16{tex} \mathrm { m } {/tex} behind a bus when it starts accelerating at 2{tex} \mathrm { ms } ^ { - 2 } {/tex} . Time taken by him to board the bus is
Question 25 :
A particle is moving along a circular path with a constant speed. The acceleration of the particle is constant in -
Question 26 :
Consider the following controls in an automobile: gas pedal, brake, steering wheel. The controls in this list that cause an acceleration of the car are -
Question 27 :
A coin is dropped in a lift. It takes time <em>t</em><sub>1</sub> to reach the floor when lift is stationary. it takes time <em>t</em><sub>2</sub> when lift is moving up with constant acceleration, then
Question 28 :
A body is thrown with the velocity <em>v</em><sub>o</sub> at an angle α with the horizontal. If the body remains in air for the time <em>t</em> = 4s, the maximum height reached by the body will be
Question 29 :
The velocity of a body depends on time according to the equation {tex} v = 20 + 0.1 t ^ { 2 } . {/tex} The body is undergoing
Question 30 :
A fighter plane is pulling out for a dive at 900 km/h in a vertical circle of radius 2km. Its mass is 5000 kg. Find the force exerted by the air on it at the lowest point.
Question 31 :
A train starts from station A with uniform acceleration {tex}a_{1}{/tex} for some distance and then goes with uniform retardation {tex}a_{2}{/tex} for some more distance to come to rest at station B. The distance between A and B is 4 km and the train takes 4 hours to complete this journey. If acceleration and retardation are in {tex}km/hour^{2}{/tex}, then
Question 32 : From a canon mounted on a wagon at height H from ground, a shell is fired horizontally with a velocity {tex}v_{0}{/tex} with respect to canon. The canon and wagon has combined mass M and can move freely on the horizontal surface. The horizontal distance between shell and canon when the shell touches the ground is <br> <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5d58049841fcca588ca355f6" />
Question 33 :
The horizontal range of a projectile fired at an angle of 15 is {tex} 50 \mathrm { m } . {/tex} If it is fired with the same speed at an angle of {tex} 45 , {/tex} its range will be
Question 34 :
A particle is projected from ground with velocity 40{tex} \sqrt { 2 } \mathrm { m } / \mathrm { s } {/tex} at {tex} 45 ^ { \circ } . {/tex} At time {tex} t = 2 \mathrm { s } : {/tex}
Question 35 :
An aeroplane flying horizontally with a speed of 360 km<sup>-1</sup> releases a bomb at a height of 490 m from the ground. If g = 9.8 m s<sup>-2</sup>, it will strike the ground at
Question 36 :
A projectile is thrown horizontally from top of a building of height {tex}10 \mathrm { m } {/tex} with certain speed {tex} ( u ) {/tex} . At the same time another projectile is thrown from ground 10{tex} \mathrm { m } {/tex} away from the building with equal speed {tex} ( u ) {/tex} on the same vertical plane. If they collide after {tex} 2 s , {/tex} then choose the correct options.
Question 37 :
A particle is projected vertically upwards from a point <em>A</em> on the ground. It takes time <em>t</em><sub>1</sub> to reach a point <em>B</em>, but it still continues to move up. If it takes further <em>t</em><sub>2</sub> time to reach the ground from point <em>B</em>. Then height of point <em>B</em> from the ground is
Question 38 :
A man holds an umbrella at {tex} 30 ^ { \circ } {/tex} with the vertical to keep himself dry. He, then, runs at a speed of 10{tex} \mathrm { ms } ^ { - 1 } {/tex} and finds the rain drops to be hitting vertically. Speed of the rain drops with respect to the running man and with respect to earth are
Question 39 :
A particle is projected upwards with a velocity of 100 m/s at an angle of 37<font face="Symbol">°</font> with the vertical. The time when the particle will move perpendicular to its initial direction is (<em>g</em> = 10 m/s<sup>2</sup>, tan 53<font face="Symbol">°</font> = 4/3)
Question 40 :
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
