Motion in A Str...

An astronaut jumps from an airplane. After he had fallen $$40 m$$, then his parachute opens. Now he falls with a retardation of $$2 m/s^2$$ and reaches the earth with a velocity of $$3.0 m/s$$. What was the height of the aeroplane? (in m)

A car starts from rest and accelerates uniformly to a speed of $$ 180 \,km \,h^{-1} $$ in $$10$$ sec. The distance covered by the car in the time interval is :

Two stones of mass $$m_1$$ and $$m_2$$ (such that $$m_1$$ and $$m_2$$ ) are dropped $$\triangle$$ t time apart from the same height towards the ground. At a  later time t the difference in their speed is $$\triangle $$ V and their mutual separation is $$\triangle$$ S . While both stones are in flight 

A particle moves along the x-axis with a position given by the equation $$x = 5 + 3t$$, where $$x$$ is in meters, and $$t$$ is in seconds. The positive direction is east. Which of the following statements about the particle is false?

A car moving with a velocity of $$20{ ms }^{ -1 }$$ is stopped in a distance of $$40 m$$. If the same car is travelling at double the velocity, the distance travelled by it for same retardation is

A man weighing 80 kg is standing on a trolley weighing 320 kg. The trolley is resting on frictionless horizontal rails. If the man starts walking on the trolley along the rails at speed 1 m/s. Then after 4 s, his displacement relative to ground will be :

A particle moving in one dimension with a constant acceleration of $$2 {m}/{{s}^{2}}$$ is observed to cover a distance of $$5 m$$ during a particular interval of $$1 s$$. The distance covered by the particle in the next $$1 s$$ interval is in metre

In a car race, car $$A$$ takes a time $$t$$ less than car $$B$$ at the finish and passes the finishing point with speed $$v$$ more than that of the car $$B$$. Assuming that both the cars starts from rest and travel with constant accelerations $${ a }_{ 1 }$$ and $${ a }_{ 2 }$$ respectively. So, the value of $$v$$ will be :

A body freely falling from the rest has a velocity v after his falls through a height h. The distance, it has to fall down further for its velocity to become double, is :