Motion in A Str...

Velocity at the top of vertical journey under gravity when a body is projected upward with velocity $$1000m/s$$ is 

A body starting from rest moves with constant acceleration. The ratio of distance covered by the body during the $$5th$$ sec to that covered in $$5$$ sec is :

A car accelerates from rest at a constant rate $$\alpha$$ for some time, after which it decelerates at a constant rate $$\beta$$ and comes to rest. If the total time elapsed is t, then the maximum velocity acquired by car is 

A particle starts with an initial velocity of $$20 m/s$$ and moves with a constant acceleration on a straight line. If its final velocity is $$60 m/s$$, then velocity of midpoint is

A block can slide on a smooth inclined plane of inclination '$$q$$' kept on the floor of a lift. When the lift is descending with retardation, '$${a}$$' $$m/s^2$$ the acceleration of the block relative to the incline will be:

A particle travels $$10$$m in first $$5$$ seconds $$10$$ cm in next $$3$$ seconds. Assuming constant acceleration what is the distance travelled in next $$2$$ second ?

A force of $$20N$$ is applied on a body of mass $$5 kg$$ resting on a horizontal plane. The body gains a kinetic energy of $$10 joule$$ after it moves a distance of $$2m$$. The frictional force is:

The splash of sound was heard $$6$$s after dropping a stone into a well $$125$$m deep. The velocity of sound is:

A particle is thrown vertically up with speed u so that distance covered in last second of flight is $$35\ m$$ . If  then initial speed of throw is 

Two cars OF SAME LENGTH move in the same direction along parallel roads. One of them is a $$100$$ m long travelling with a velocity of $$7.5$$ $$ms^{-1}$$. How long will it take for the first car to overtake the second car?