Projectile Motion

Author:Embibe Experts
JEE Main/Advance
IMPORTANT

Important Questions on Projectile Motion

HARD
IMPORTANT

Two projectiles are projected from same position under gravity at different angles with horizontal in the same vertical plane. If velocity of one with respect to other is v, acceleration of one with respect to other is a and position of one with respect to other is r, then which of the following graphs is(are) correct?

MEDIUM
IMPORTANT

A particle is projected from ground to ground and its path is as shown in the figure. Points A and B are at same horizontal level and points C and D are at another same horizontal level. Separation between line AB and CD is 5 m. If particle takes time t1 to go from A to B and time t2 from C to D, then is g=10 m s-2

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HARD
IMPORTANT

A particle is projected with speed 102 m s-1 from top of a tower of height H as shown in figure
(take H=10 mand g=10 m s-2 ). Then

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MEDIUM
IMPORTANT

A projectile has the same range R for two angles of projections. If T1 and T2 be the times of flight in the two cases, then (using θ as the angle of projection corresponding to T1 )

MEDIUM
IMPORTANT

Two particles are projected from same point with same initial speed u at angles of projection α and β.t1 and t2 are their respective time of flights and h1 and h2 are their respective maximum heights. If they strike the horizontal ground at same point having range R, then

MEDIUM
IMPORTANT

A particle is moving in X-Y plane on path y=x2- 2x+5. Its x component of velocity is constant and is equal to 5 m s-1. Acceleration of the particle at x=2 m is

EASY
IMPORTANT

For a projectile thrown at an angle θ with the horizontal ground, maximum range on the ground can be achieved by projecting at θ=_____°. (In degrees)

EASY
IMPORTANT

Path of a projectile as seen from another projectile is a

EASY
IMPORTANT

A ball is projected from the foot of an incline plane of inclination 30°, at an angle 60° with the horizontal with velocity 203 m s-1. The time after which the ball will strike the plane is

MEDIUM
IMPORTANT

A ball rolls off the top of a stair way with a horizontal velocity 1010 m s-1. If the steps are 0.25 m high and 5 m wide then the ball will hit the edge of the nth  step where n is

MEDIUM
IMPORTANT

A body is projected horizontally with a speed v0. Find the velocity of the body when it covers equal distances in horizontal and vertical directions.

MEDIUM
IMPORTANT

A stone is thrown from the top of a tower at an angle of 30° above the horizontal level with a velocity of 40 m s-1. It strikes the ground after 5 second from the time of projection then the height of the tower is

EASY
IMPORTANT

A grasshopper can jump a maximum horizontal distance of 40 cm. If it spends negligible time on the ground then in this case its speed along the horizontal road will be

MEDIUM
IMPORTANT

When two projectiles are fired from complementary angles having times of flight T1,T2 and maximum heights H1,H2 respectively, which of the following is incorrect?

MEDIUM
IMPORTANT

A projectile is fired to have maximum range 500 m. Maximum height attained by the projectile in this case will be

HARD
IMPORTANT

A projectile is thrown with an initial velocity vxi^+vyj^ m s-1. If the range of the projectile is double the maximum height, then vyvx is

EASY
IMPORTANT

In projectile motion, why we resolve the velocity in two mutually perpendicular direction?

HARD
IMPORTANT

One second after projection, a stone moves at an angle of 45° with the horizontal. Two seconds after projection, it moves horizontally. Its angle of projection is (in degrees) g=10 m s-2

MEDIUM
IMPORTANT

If the horizontal range of projectile be a and the maximum height attained by it is b, then velocity of projection is

HARD
IMPORTANT

The speed of a projectile when it is at its maximum height is 25 times its speed at half the maximum height. What is its angle of projection?