JEE Main Kinematics questions
31 Physics questions on Kinematics as asked in JEE Main, newest first. 13 come with a worked solution.
- The maximum vertical height to which a man can throw a ball is 136 m. The maximum horizontal distance upto which he can throw the same ball is:
2023 · with solution
- If two vectors P = i + 2mj + mk and Q = 4i - 2j + mk are perpendicular to each other. Then, the value of m will be :
2023
- The distance travelled by a particle is related to time t as x = 4t^2. The velocity of the particle at t = 5s is:-
2023 · with solution
- A car travels a distance of 'x' with speed v_1 and then same distance 'x' with speed v_2 in the same direction. The average speed of the car is:
2023
- Two objects are projected with same velocity 'u' however at different angles α and β with the horizontal. If α + β = 90°, the ratio of horizontal range of the first object to the 2nd object will be:
2023 · with solution
- Vectors ai + bj + k and 2i - 3j + 4k are perpendicular to each other when 3a + 2b = 7, the ratio of a to b is x/2. The value of x is __________.
2023
- A tennis ball is dropped on to the floor from a height of 9.8 m. It rebounds to a height 5.0 m. Ball comes in contact with the floor for 0.2s. The average acceleration during contact is __________ ms^-2. (Given g = 10…
2023 · with solution
- The stream of a river is flowing with a speed of 2 km/h. A swimmer can swim at a speed of 4 km/h. What should be the direction of the swimmer with respect to the flow of the river to cross the river straight ?
2019 · with solution
- Two particles are projected from the same point with the same speed u such that they have the same range R, but different maximum heights h_1 and h_2. Which of the following is correct?
2019
- A particle starts from origin O from rest and moves with a uniform acceleration along the positive X-axis. Identify all figures that correctly represent the motion qualitatively. (a = acceleration, v = velocity, x =…
2019
- A particle is moving with speed v = b√(x) along positive X-axis. Calculate the speed of the particle at time t = τ (assume that the particle is at origin at t = 0).
2019
- A ball is thrown upward with an initial velocity v_0 from the surface of the earth. The motion of the ball is affected by a drag force equal to mγ v^2 (where, m is mass of the ball, v is its instantaneous velocity and γ…
2019
- A shell is fired from a fixed artillery gun with an initial speed u such that it hits the target on the ground at a distance R from it. If t_1 and t_2 are the values of the time taken by it to hit the target in two…
2019
- Ship A is sailing towards north-east with velocity v = 30i + 50j km/h, where i points east and j north. Ship B is at a distance of 80 km east and 150 km north of Ship A and is sailing towards west at 10 km/h. A will be…
2019
- The trajectory of a projectile near the surface of the earth is given as y = 2x - 9x^2. If it were launched at an angle θ_0 with speed v_0, then (Take, g = 10 ms^-2)
2019
- A person standing on an open ground hears the sound of a jet aeroplane, coming from north at an angle 60° with ground level. But he finds the aeroplane right vertically above his position. If v is the speed of sound,…
2019 · with solution
- A plane is inclined at an angle α = 30° with respect to the horizontal. A particle is projected with a speed u = 2 ms^-1, from the base of the plane, making an angle θ = 15° with respect to the plane as shown in the…
2019 · with solution
- A particle moves from the point (2.0i + 4.0j) m at t = 0 with an initial velocity (5.0i + 4.0j) ms^-1. It is acted upon by a constant force which produces a constant acceleration (4.0i + 4.0j) ms^-2. What is the…
2019
- A passenger train of length 60 m travels at a speed of 80 km/hr. Another freight train of length 120 m travels at a speed of 30 km/hr. The ratio of times taken by the passenger train to completely cross the freight…
2019
- In a car race on a straight path, car A takes a time t less than car B at the finish and passes finishing point with a speed 'v' more than that of car B. Both the cars start from rest and travel with constant…
2019
- The position vector of particle changes with time according to the relation r(t) = 15t^2i + (4 - 20t^2)j. What is the magnitude of the acceleration (in ms^-2) at t = 1?
2019 · with solution
- A body is projected at t = 0 with a velocity 10 ms^-1 at an angle of 60° with the horizontal. The radius of curvature of its trajectory at t = 1 s is R. Neglecting air resistance and taking acceleration due to gravity g…
2019
- All the graphs below are intended to represent the same motion. One of them does it incorrectly . Pick it up.
2018
- A body is thrown vertically upwards. Which one of the following graphs correctly represent the velocity vs time?
2017 · with solution
- Two stones are thrown up simultaneously from the edge of a cliff 240 m high with initial speed of 10 m/s and 40 m/s, respectively. Which of the following graph best represents the time variation of relative position of…
2015
- From a tower of height H, a particle is thrown vertically upwards with a speed u. The time taken by the particle to hit the ground, is n times that taken by it to reach the highest point of its path. The relation…
2014
- A projectile is given an initial velocity of (i + 2j) m/s, where, i is along the ground and j is along the vertical. If g = 10 m/s², then the equation of its trajectory is
2013 · with solution
- A particle starts from rest. Its acceleration (a) versus time (t) is as shown in the figure. The maximum speed of the particle will be (2004, 2M) [figure]
2004 · with solution
- A ball is dropped vertically from a height d above the ground. It hits the ground and bounces up vertically to a height d/2. Neglecting subsequent motion and air resistance, its velocity v varies with height h above the…
2000 · with solution
- A boat which has a speed of 5 km/h in still water crosses a river of width 1 km along the shortest possible path in 15 min. The velocity of the river water in km/h is
1988
- A river is flowing from West to East at a speed of 5 m/min. A man on the South bank of the river, capable of swimming at 10 m/min in still water, wants to swim across the river in the shortest time. He should swim in a…
1983 · with solution
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