Motion in A Str...

A body traversed half of the distance with a velocity $$V_0$$. The remaining part $$V_1$$ for half of the time and with the velocity $$V_2$$ for the other half of the time. Find the average velocity of the body over the whole journey.

A car starts from rest and travels with uniform acceleration "$$\alpha$$" for some time and then with uniform retardation "$$\beta$$" and comes to rest. The time of motion is "$$t$$". Find the maximum velocity attained by it.

A passenger in moving train tosses a coin which falls behind him. It means that the motion of the train is

A car moving at a certain speed stops on applying brakes within 16 m. If the speed of the car is doubled, maintaining the same retardation. then at what distance does it stop? Also, calculate the percentage change in this distance.(in percent)

equation for uniform accelerated motion for the displacement covered in its nth second of its motion is?

A stone falls freely from rest, and the total distance covered by it in the last second of its motion, equals the distance covered by it in the first three seconds of its motion. Find the time for which stone remains in the air and the total height from where stone is dropped.

A body is projected vertically upwards. If $$a$$ and $$b$$ be the times at which it is at height $$h$$ above the point of projection while ascending and descending respectively, then $$h$$ is :

A body thrown vertically up from the ground passes the height $$10.2m$$ twice at an interval of $$10s$$. What was its initial velocity? (in m/s)

Person $$A$$ walking along a road at $$3ms^{-1}$$ sees another person $$B$$ walking on another road at right angle to his road. Velocity of B is $$4ms^{-1}$$ when he is $$10m$$ off. They are nearest to each other when person A has covered a distance of

A balloon is rising with a constant acceleration of $$2m/s^{2}$$. At a certain instant when the balloon was moving with a velocity of $$4m/s$$, a stone was dropped from it in a region where $$g = 10m/s^{2}$$. The velocity and acceleration of stone as it comes out from the balloon are respectively (in m/s and $$m/s^{2}$$)