Motion in A Str...

Using the table given below where the values of velocity at the end of t seconds for a body under linear motion are given

A person sitting in the rear end of the compartment throws a ball towards the front end.The ball follows a parabolic path.The train is moving with velocity of $$20\ m/s$$.A person standing outside on the ground also observes the ball.How will the maximum heights $$y_m$$ attained and the ranges $$R$$ seen by the thrower and the outside observer compare with each other?

Two identical balls are shot upward one after another at an interval of $$2\ s$$ along the same vertical line with same initial velocity of  $$40\ ms^{-1}$$ The height at which the balls collide is

A ball is thrown vertically upwards from the ground and a student gazing out of the window sees it moving upward past him at $$\displaystyle 10 \ ms^{-1}.$$ The window is at  $$15$$ m above the ground level. The velocity of ball $$3\ s$$ after it was projected from the ground is (take $$ \ g= 10 \ ms^{-2} $$)

A lift start from rest. Its acceleration is plotted against time. When it comes to rest its height above its starting point is

A particle is projected vertically upwards and reaches the maximum height $$H$$ at a time $$t=T$$. The height of the particle at any time $$t (< T)$$ will be

A car is travelling on a straight road. The maximum velocity the car can attains is $$\displaystyle 24 ms^{-1}.$$ The maximum acceleration and deceleration it can attain are $$\displaystyle 1 ms^{-2}$$ and $$\displaystyle 4ms^{-2}$$ respectively. The shortest time the car takes from rest to rest in a distance of 500 m is,

The velocity of a particle at time $$t=0$$ is $$2m/s$$. A constant acceleration of $$2m/s^{2}$$ acts on the particle for $$2$$ seconds at an angle of $$60$$$$^{\circ}$$ with its initial velocity. The magnitude of velocity and displacement of particle at the end of $$t=2s$$ respectively are:

A car moving along a straight highway with a speed of $$126 kmph$$ is brought to a stop within a distance of $$200 m$$. What is the acceleration of the car and how long does it take for the car to stop?

Net force acting on a particle of mass 2 kg is 10 N in north direction. At t = 0, particle was moving eastwards with 10 m/s. Find displacement and velocity of particle after  2 s.