Understanding projectile motion

A ball thrown by one player reaches the other in 2 sec. The maximum height attained by the ball above the point of projection will be (g= 10 m/sec²)

A) 5 m

B) 13 m

C) 3 m

D) None of these

Four bodies P, Q, R and S are projected with equal velocities having angle of projection 15^o, 30^o, 45^o and 60^o with the horizontal axis. The body having shortest range is 

A) P

B) Q

C) R

D) S 

An object covers 50 m distance when projected with an intial speed. On the same surface it will cover a distance, when projected with double the initial speed

A) 100 m

B) 150 m

C) 200 m

D) 250 m

If time of flight of a projectile is 10 seconds. The range is 500m. The maximum height achieved by it will be:

A) 125 m

B) 50 m

C) 100 m

D) 150 m

For a projectile body, the ratio of the maximum height reached to the square of time of flight is (g = 10 m/sec²)

A) 5:4 

B) 5:2

C) 5:1

D) 10:1 

A ball is thrown upwards and it returns back to the ground describing a parabolic path. Which of the following remains constant?

A) Speed of the ball

B) Kinetic energy of the ball

C) Vertical velocity of the ball

D) Horizontal component of velocity

A gun is aimed at a target in a line of its barrel. The target is released and allowed to fall under gravity at the same instant gun is fired. The bullet will:

A) Pass above the target

B) Pass below the target

C) Hit the target

D) Certainly miss the target

If the initial velocity of a projectile be doubled, keeping the angle of the projection is same, the maximum height attained by it will

A) Remains the same

B) Be doubled

C) Be quadrupled

D) Be halved 

A stone is projected from the ground with the velocity 25 m/sec. Two seconds later, it just clear a wall 5 m high. The angle of projection of the stone is (g=10 m/sec²)

A) 30^o

B) 45^o

C) 60^o

D) 90^o

A football player throws a ball with the velocity of 50 m/sec at an angle 30^o from the horizontal axis. The ball remains in air for (g = 10m/sec²)

A) 2.5 sec

B) 1.25 sec

C) 5 sec

D) 0.625 sec

A projectile is fired with the initial value u at some angle θ has a range R. If the initial velocity be doubled at the same angle of projection, then the range will be:

A) 2R

B) R/2

C) R

D) 4R

The angle of projection at which the horizontal range and maximum height of projectile are equal is

A) 45^o

B) θ=tan^-1(0.25)

C) θ=tan^-14

D) 60^o

 The horizontal axis is four times the maximum height attained by a projectile. Then, the angle of projection is

A) 30^o

B) 45^o

C) 60^o

D) 90^o

At the top of the trajectory of a projectile, the directions of its velocity and acceleration are:

A) Perpendicular to each other

B) parallel to each other

C) inclined tpo each other at the angle of 45o

D) Anti-parallel to each other

In a motion of the projectile freely under gravity, its (neglect air friction):

A) Total mechanical energy is conserved

B) momentum is conserved

C) Momentum and mechanical energy both are conserved

D) none is conserved