Popular Kinematics Questions

Two particles move in an uniform gravitational field with acceleration g. Initially the particles were located at one point and moved with velocities v1 = 3m/s and v2 = 4m/s horizontally in opposite directions. Find the dista ...

A carrom board (having dimension 4ft * 4ft) has the queen at the centre. The striker hits the queen,which moves to the front edge,rebounds and finally enters the hole behind the striking line. Find the displacement of the que ...

One of the rectangular components of a vector of magnitude 100 units is 50 units. Find the other component. ...

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A particle located at x=o at time t=0 starts moving along the positive X-direction with a velocity v that varies with time is? explain ...

A motorcyclist starts from the bottom of a slope of angle 45° to cross a valley. The width of the valley 90m and length of the slope is 80 2 m. What is the minimum value of u (initial velocity)? ...

A cannon ball is fired with a velocity v such that it makes an angle θ with the horizontal. At the highest point,the cannon ball splits into two parts of equal masses. One of the parts retraces the initial path of the ball. ...

The velocity of a train increases at a constant rate α from zero to v and then remains constant for an interval and finally decreases to zero at a constant rate β. If x be the total distance covered,find the total time take ...

How to calculate inclination angle when both x as well as y coordinates of the target is given (in projectile motion)? (as well as initial velocity) ...

Two seconds after projection a projectile is travelling in a direction inclined at 30° to the horizontal.After one more second it is travelling horizontally.Determine the magnitude and direction of its velocity. ...

*Image* Find velocity of point C on string. ...

A river flows downstream with a speed of 8 km/h and the velocity of the swimmer with respect to the water is 6 km/h. Find out the minimum time taken to reach the other side of the bank.What is the displacement of the man down ...

A block of mass m is attached to one end of a long elastic rope. The other end of the elastic rope is fixed to the roof of a building. Initially the block is in contact with the roof at the point where the rope is fixed and i ...

A 60kg body is pushed with enough force to start it moving across a floor and it continues to act afterwards. The coefficient of static friction is 0.5 and the coefficient of sliding friction is 0.4 . Calculate the accelerati ...

A rod of length 10 m. is travelling on a smooth,level,horizontal surface.Beyond a point A,the floor ceases to be smooth and the coefficient of friction is k=0.1.The rod is travelling such that it is moving towards the point A ...

A particle is projected from the bottom of an inclined plane at an angle θ with the surface of the incline.The angle of the inclined plane is 45.For what value of θ will the particle retrace it's path after collision with t ...

A gun is fired from a moving platform and the range of the shot is R when the platform is moving forward and S when the platform is moving backward. The velocity of the shot is V. Prove that the gun is elevated at an angle ta ...

A ball is dropped from the top of a building at t = 0. At a later time t = t0,a second ball is thrown downwards with initial speed v0. Using relative motion concept, find the time at which the two balls will meet. ...

*Image* Try to apply some other method than maxima minima(if you can). ...

A ball is thrown vertically upward from the 12 metre level with an initial velocity Of 18 metres / second. At the same instant an open platform elevator passes the 5 metre level, moving upward with a constant velocity of 2 me ...

A smooth sphere of radius R is made to translate in a straight line with constant acceleration a=g. A particle kept on the top of the sphere is released from there at zero velocity with respect to the sphere. The speed of the ...

To both, A and B, move away from a buoy and ancurd at the middle of a river, and the boat B across the river. Having moved off an equal distance from the buoy the boats returned . Find the ratio of times of motion of boats Ï„ ...

A body starts from rest and accelerates at a rate of 2m/s2. The distance travelled in 5 seconds is? ...

Show that the velocity is perpendicular to the displacement, if r = A Cos ωt (i^) + A Sin ωt (j^) ...

Three identical spheres of mass 1 kg are placed touching each other with their centers on a straight line. Their centers are marked K,L and M respectively. What is the distance of the center of mass of the system from K? ...

Two point masses m and M are separated by a distance L. What is the distance of the center of mass of the system from m? ...

A particle moves along a circle of radius (20/Ï€)m with constant tangential acceleration. If the velocity of the particle is 80 m/s at the end of the second revolution after motion has begun,what is the tangential acceleratio ...

A particle of mass m is executing uniform circular motion on a path of radius r. If p is the magnitude of its linear momentum,calculate the radial force acting on the particle. ...

A particle is projected from a point A,whose position vector is 2i + 3j,with initial velocity vector 20i + 30j + 20k,where i and k are horizontal and j is the unit vector in the direction of the upwards vertical. Find a vecto ...

A particle is projected from the origin in such a way that it passes through a given point P(a,b). What is the minimum speed required to do so? ...