List of top Physics Questions on projectile motion asked in JEE Main

Find the eccentricity of the ellipse in which the length of the minor axis is equal to one fourth of the distance between foci.
A particle moves on a circular path of radius 1 m. Find its displacement when it moves from A→B→A A \rightarrow B \rightarrow A . Also, its distance are it moves from A→B→A A \rightarrow B \rightarrow A .
The moment of inertia of a ring of mass M M and radius R R about an axis passing through a tangential point in the plane of ring is:

A particle is projected at an angle of 30∘ 30^\circ from horizontal at a speed of 60 m/s. The height traversed by the particle in the first second is h0 h_0 and height traversed in the last second, before it reaches the maximum height, is h1 h_1 . The ratio h0h1 \frac{h_0}{h_1} is __________. [Take g=10 m/s2 g = 10 \, \text{m/s}^2 ]

The maximum speed of a boat in still water is 27 km/h. Now this boat is moving downstream in a river flowing at 9 km/h. A man in the boat throws a ball vertically upwards with speed of 10 m/s. Range of the ball as observed by an observer at rest on the river bank is cm. (Take g = 10 m/s²).
Two projectiles are fired with the same initial speed from the same point on the ground at angles of (45∘−α) (45^\circ - \alpha) and (45∘+α) (45^\circ + \alpha) , respectively, with the horizontal direction. The ratio of their maximum heights attained is:
A body projected vertically upwards with a certain speed from the top of a tower reaches the ground in t1. If it is projected vertically downwards from the same point with the same speed, it reaches the ground in t2. Time required to reach the ground, if it is dropped from the top of the tower, is :
The maximum height reached by a projectile is 64 m. If the initial velocity is halved, the new maximum height of the projectile is ______ m.
A body of mass M M thrown horizontally with velocity v v from the top of the tower of height H H touches the ground at a distance of 100 m 100 \, \text{m} from the foot of the tower. A body of mass 2M 2M thrown at a velocity v2 \frac{v}{2} from the top of the tower of height 4H 4H will touch the ground at a distance of …\dots m\text{m}.
The angle of projection for a projectile to have same horizontal range and maximum height is :
A body of mass 'm' is projected with a speed 'u' making an angle of 45∘45^\circ with the ground. The angular momentum of the body about the point of projection, at the highest point, is expressed as 2 mu3Xg\frac{\sqrt{2} \, m u^3}{X g}. The value of 'X' is ______.
A particle moving in a circle of radius R with uniform speed takes time T to complete one revolution. If this particle is projected with the same speed at an angle θ to the horizontal, the maximum height attained by it is equal to 4R. The angle of projection θ is then given by
A particle of mass m is projected from ground with speed u at an angle of 30° with the horizontal. Find its angular momentum about the point of projection when it reaches its maximum height.
A ball rolls off the top of a stairway with horizontal velocity u u . The steps are 0.1 m 0.1 \, \text{m} high and 0.1 m 0.1 \, \text{m} wide. The minimum velocity u u with which the ball just hits the step 5 of the stairway will be x m/s \sqrt{x} \, \text{m/s} where x= x = _____. (Use g=10 m/s2 g = 10 \, \text{m/s}^2 ).
A boy can throw a stone up to a maximum height of 10 m. The maximum horizontal distance that the boy can throw the same stone will be?
A projectile fired at 30∘30^{\circ} to the ground is observed to be at the same height at time 3s and 5s after projection, during its flight. The speed of projection of the projectile is_____ ms−1^{-1}.
The trajectory of projectile, projected from the ground is given by y=x-x2/20. Where x and y are measured in meter. The maximum height attained by the projectile will be
Two projectiles are projected at 30° and 60° with the horizontal with the same speed. The ratio of the maximum height attained by the two projectiles respectively is :

Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R. 
Assertion (A): Range of a horizontal projectile is maximum when angle of projection is θ=45°θ = 45°.
Reason (R): Range is maximum when sin (2θ)=1sin\ (2θ)=1.
In the light of the above statements, choose the correct answer from the options given below

The initial speed of a projectile fired from ground is uu At the highest point during its motion, the speed of projectile is 32u\frac{\sqrt{3}}{2} u The time of flight of the projectile is :

Two bodies are projected from ground with same speeds 40 ms−140\, ms ^{-1} at two different angles with respect to horizontal The bodies were found to have same range If one of the body was projected at an angle of 60∘60^{\circ}, with horizontal then sum of the maximum heights, attained by the two projectiles, is ____mm (Given g=10ms−2g=10 ms ^{-2} )

A particle of mass 100 g is projected at time 𝑡=0𝑡=0 with a speed 20 ms−120\,ms^{−1} at an angle 45°45° to the horizontal as given in the figure. The magnitude of the angular momentum of the particle about the starting point at time 𝑡=2s𝑡=2 s is found to be K  kgm2/s.\sqrt{K}\  kgm^2/s. The value of KK is ________. (Take g=10g=10 ms−2ms^{−2})
projectile motion
Match List I with List II
List IList II
A.TroposphereI.Approximate 65-75 km over Earth’s surface
B.E- Part of StratosphereII.Approximate 300 km over Earth’s surface
C.F2- Part of ThermosphereIII.Approximate 10 km over Earth’s surface
D.D- Part of StratosphereIV.Approximate 100 km over Earth’s surface
Choose the correct answer from the options given below:
A ball is projected from the ground with a speed 15 ms−115\, ms ^{-1} at an angle θ\theta with horizontal so that its range and maximum height are equal, then'tan θ\theta ' will be equal to
Two objects are projected with same velocity ' uu ' however at different angles ∝\propto and β\beta with the horizontal If α+β=90∘\alpha+\beta=90^{\circ}, the ratio of horizontal range of the first object to the 2nd object will be :