Volume 1

A particle has a velocity u towards east at t=0. Its acceleration is towards west and is constant. Let xA and xB be the magnitude of displacements in the first 10 seconds and the next 10 seconds. Then, A particle has a velocity u towards east at t=0. Its acceleration is towards west and is [...]

A particle is projected from a point A with velocity 2–√u an angle of 45^∘ with horizontal as shown in figure. It strikes the plane BC at right angles. The velocity of the particle at the time of collision is A very broad elevator is going up vertically with a constant acceleration of 2m/s^2. At [...]

With what minimum speed must a particle be projected from origin so that it is able to pass through a given point (30m,40m) ? Take g = 10 m/s^2 40m) ? Take g = 10 m/s^2 With what minimum speed must a particle be projected from origin so that it is able to pass through [...]

A projectile of mass 2kg has velocities 3 m/s and 4 m/s at two points during its flight in the uniform gravitational field of the earth. If these two velocities are perpendicular to each other, then the minimum kinetic energy of the particle during its flight is A projectile of mass 2kg has velocities 3 [...]

A particle is projected with a certain velocity at an angle a above the horizontal from the foot of an inclined plane of inclination 30∘. If the particle strikes the plane normally, then a is equal to. A particle is projected with a certain velocity at an angle a above the horizontal from the foot [...]

After one second the velocity of a projectile makes an angle of 45^∘ with the horizontal. After another one more second its is travelling horizontally. The magnitude of its initial velocity and angle of projectile are (g=10m/s^2) A very broad elevator is going up vertically with a constant acceleration of 2m/s^2. At the instant when [...]

The speed of a projectile when it is at its greatest height is root 2/5 times its speed at half the maximum height. The angle of projection is The speed of a projectile when it is at its greatest height is root 2/5 times its speed at half the maximum height. The angle of projection [...]

A particle starts from the origin of coordinates at time t=0 and moves in the xy plane with a constant acceleration α in the y-direction. Its equation of motion is y = βx^2 . Its velocity component in the x-direction is A very broad elevator is going up vertically with a constant acceleration of 2m/s^2. [...]

A projectile is fired at an angle 30^∘ of to the horizontal such that the vertical component of its initial velocity is 80 m/s. Its time of flight is T. Its velocity at t= T/4 has a magnitude of nearly: A very broad elevator is going up vertically with a constant acceleration of 2m/s^2. At [...]

Two particles A and B projected simultaneously from a point situated on a horizontal place. The particle A is projected vertically up with a velcity vA while the particle B is projected up at an angle 30∘ with horizontal with velocity vB. After 5s the particles were observed moving mutually perpendicular to each other. The [...]