Motion in A Str...

A ball is thrown vertically upwards with a velocity of $$10 ms^-1$$. IT returns to the ground with a velocity of$$ 9 ms^-1$$. If $$g = 9.8 ms^-2$$, then the maximum height attained by the ball is nearly ( assume a resistance to be uniform)

Two cyclists are travelling the same distance at the speed of $$10$$ km\hr and $$15$$ km\hr respectively. If one cyclist takes $$40$$ minutes or more to cover the distance, then what distance (in km) are they travelling?

A stone A is thrown at an angle of $$45^0$$ to the horizontal. Another stone B is thrown with $$20ms^{-1}$$ horizontally as shown in figure. They collide in mid-air. Find the distance BC

A system is shown in the figure and man is pulling the rope from both sides with constant speed $$'u'$$. Then the speed of the block will be ($$M$$ moves vertically):

A ball is dropped from a height of $$7.2$$m. It bounces back to $$3.2$$m after striking the floor. The ball remains in contact with the floor for $$20$$ms. Given that $$g=10 ms^{-2}$$, the average acceleration of the ball during the contact is:

An object is tossed vertically into the air with an initial velocity of 8 m/s. Using the sign convention upwards as positive, how does the vertical component of the acceleration $$a_y$$ of the object (after leaving the hand) vary during the flight of the object?
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A scooterist is moving on a straight road with speed $$10\;m{s^{ - 1}}$$ . A bus ahead of scooterist by 32 m, starts from rest with an acceleration $$1\;m{s^{ - 2}}$$, if both are moving in the same direction then the time after which scooter overtakes the bus is:

A balloon is rising with unifrom speed $$14\;m{s^{ - 1}}$$ .At a height $$98 m$$ from the ground a stone is dropped from the balloon.The time taken by the stone to strike the ground is $$\left( {g = 10\;m/{s^2}} \right)$$:

A particle initially at rest starts moving in a straight line with constant accelration. it attains a speed of $$10m/s$$ in 2s after which it deaccelerates with constant rate and comes to rest in the next 3 seconds.An average speed of the particle during the entire motion will be 

A rocket of initial mass $$5000 kg$$ ejects gets at a constant rate of $$60kg/s$$ with a relative speed of $$2050 m/s$$. Acceleration of the rocket 15 second after it is blasted off from the surface of earth will be ($$g = 10m/{s}^{2}$$?)