Motion in A Str...

A body is moving with velocity $$1$$ m/s at a height $$3$$ m from the ground. What will be its speed at height $$2$$ m from the ground?

A man of mass 40 kg is standing on a uniform plank of mass 60 kg lying on horizontal frictionless ice. The man walks from one end to the other end of the plank . the distance walked by the man relative to ice is (given length of plank=5m)

A stone is thrown vertically up from a bridge with velocity $$ 3 ms^{-1} $$ if it strikes the water under the bridge after 2 s, the bridge is at a height of $$ ( g= 10m/s^2) $$

The graph predicts the condition of 

A car starts from rest and has an acceleration $$a = 1 \mathrm { m } / \mathrm { s } ^ { 2 }$$.A truck is moving with a uniform velocity of $${ 6 } \mathrm { m } / \mathrm { s }$$. At what distance will the car overtake the truck? direction (at $$t = 0$$ both start their motion in the same direction from the same position)

A body is started from rest with acceleration $$2m/{s}^{2}$$ till it attains the maximum velocity then retards to rest with $$3m/{s}^{2}$$. If total time taken is $$10$$ second then maximum speed attained is

A body of mass 5kg starts from the origin with an initial velocity $$ \overrightarrow u = 30 \hat i + 40 \hat j ms^{-1} $$ if a constant force $$ \overrightarrow F= - ( \hat i + 5 \hat j) N $$ acts on the body , the time in which the y-component of the velocity becomes zero is: 

A particle is dropped from a tower. It is found that it travels $$45 m$$ in the last second of its journey. Then height of tower is $$ \left(g=10 \mathrm{m} / \mathrm{s}^{2}\right)  $$ ?

Three particles start from origin at the same time with a velocity $$2 ms^{-1}$$ along positive x-axis the second with a velocity $$6 ms^{-1}$$ aling negative y-axis. Find the velocity of the third particle along x=y line so that the three particles may always lie in a straight line

Two trains A and B of length 400 m each are moving on two parallel tracks with uniform speed of