Kinematics Questions

A stone falls freely under gravity. It covers distances h1, h2 and h3 in the first 5 seconds, the next 5 seconds and the next 5 seconds respectively. The relation between h1, h2 and h3 is :-...

A particle is moving such that its position coordinates (x, y) are (2m, 3m) at time t = 0, (6m, 7m) at time t = 2 s and (13m, 14m) at time t = 5 s Average velocity vector from t = 0 to t = 5 s is...

Initially car A is 10.5 m ahead of car B. Both start moving at time t = 0 in the same direction along a straight line . The velocity time graph of two cars is shown in figure. the time when car B will...

A particle of unit mass undergoes one-dimensional motion such that its velocity varies according to v(x) = βx-2nwhere β and n are constants and x is the position of the particle. The acceler...

A ship A is moving Westwards with a speed of 10 km h-1 and a ship B 100 km South of A, is moving Northwards with a speed of 10 km h-1. The time after which the distance between them becomes shortest, ...

Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time t1. On other days, if she remains stationary on the moving escalator, then...

The x and y coordinates of the particle at any time are x = 5t - 2t2 and y = 10t respectively, where x and y are in meters and t in seconds. The acceleration of the particle at t = 2s is :-...

If the velocity of a particle is υ = At + Bt2, where A and B are constants, then the distance travelled by it between 1s and 2s is:...

A toy car with charge q moves on a frictionless horizontal plane surface under the influence of a uniform electric fieldE→. Due to the force qE→ , its velocity increases from 0 to 6 m/s in...

From a tower of height H, a particle is thrown vertically upwards with a speed u. The time taken by the particle, to hit the ground, is n times that taken by it to reach the highest point of its path....

The velocity of a particle is v = v0 + gt + ft2. If its position is x = 0 at t = 0, then its displacement after unit time (t = 1) is

A man starts tuning along a straight with uniform velocity feels that the rain is falling vertically down along ĵ . If he doubles his finds that the rain is coming at an angle θ to the tidal...

A small object of uniform density rolls up a curved surface with an initial velocity ′v′. It reaches upto a maximum height of with respect to the initial position. The object is...

A projectile is fired from the surface of the earth with a velocity of 5 ms-1 and angle θ with the horizontal. Another projectile fired from another planet with a velocity of 3 ms-1 at the same a...

A small block is connected to one end of a massless spring of un-stretched length 4.9 m. The other end ofthe spring (see the figure) is fixed. The system lies on a horizontal frictionless surface. The...

A body standing at the loop of a tower of 20 m height drops a stone . Assuming g = 10 ms-2, the velocity which it hits ground is

A missile is fired for maximum range with an initial velocity of 20 m/s, If g = 10 ms-2, the range of the missile is

A particle has initial velocity () and has acceleration (). Its speed after 10 s is...

In the arrangement shown in the figure the ends P and Q of an unstale string move downwards with uniform speed U. Pully A and B are fixed. Mass M moves upwards with a speed...

A particle is moving eastward with a velocity of 5 m/s. In 10 s the velocity changes to 5 m/s northwards. The average acceleration in this time is