Motion in A Str...

Which one of the following represents the displacement time graph of two objects $$A$$ and $$B$$ moving with zero relative speed?

After what time will he be able to overtake the bus?

A particle accelerates from rest at a constant rate for some time and attains a velocity of $$8  { m }/{ sec }$$. Afterwards it decelerates with the constant rate and comes to rest. If the total time taken is $$4  sec$$, the distance travelled is

A particle experiences constant acceleration for $$20$$ seconds after starting from rest. If it travels a distance $${ s }_{ 1 }$$ in the first $$10$$ seconds and distance $${ s }_{ 2 }$$ in the next 10 seconds, then

Free $$^{238}{U}$$ nuclei kept in a train emit alpha particles. When the train is stationary and a uranium nucleus decays, a passenger measures that the separation between the alpha particles and the recoiling nucleus becomes $$x$$, in $$t$$ time after the decay. If a decay takes places, when the train is moving at a uniform speed $$v$$, the distance between the alpha particle and the recoiling nucleus at a time $$t$$ after the decay, as measured by the passenger will be  

A body travels $$2\  m$$ in the first two second and $$2.20\  m$$ in the next $$4$$ second with uniform deceleration. The velocity of the body at the end of $$9$$ second is

At $$t=0$$, an arrow is fired vertically upwards with a speed of $$98m{ s }^{ -1 }$$. A second arrow is fired vertically upwards with the same speed at $$t=5s$$. Then, (Take $$g=9.8ms^{-2}$$)

A stone is dropped into a well in which the level of water is $$h$$ below the top of the well. If $$v$$ is velocity of sound, the time $$T$$ after which the splash is heard is given by

A balloon starts rising from the ground with an acceleration of $$1.25  { m }/{ { s }^{ 2 } }$$. After $$8 \; s$$, a stone is released from the balloon. The stone will (Taking $$g=10{ m }/{ { s }^{ 2 } }$$)

Figure shows the $$V-T$$ graph for two particles $$P$$ and $$Q$$. The relative velocity of $$P$$ w.r.t. $$Q$$ is: