A boat is approaching the shore with a speed of `5sqrt(3)m/s` .At the instant when it is at a distance `30sqrt(3)m` from the shore, a stone is to be projected at an elevation of `30^(@)`for it to just reach the shore.What should be the speed of the stone relative to the boat? (in m/s) (Express the answer to nearest integer

A ball is projected at an angle 60^(@) with the horizontal with speed 30 m/s. What will be the speed of the ball when it makes an angle 45^(@) with the horizontal ?

An elecator is going up with an upward acceleration of 1m//s^2 . At the instant when its velocity is 2 m//s , a stone is projected upward from its floor with a speed of 2m//s relative to the elevator, at an elevation of 30^@ . (a) Calculate the time taken by the stone to return to the floor. (b) Sketch the path of the projectile as observed by an observer outside the elevator. (c) If the elevator was moving with a downward acceleration equal to g, how would the motion be altered?

Two balls are projected from the same point with such a speed that both reach the same point on ground at a distance of 19.6 sqrt(3) m from the point of projection. If one of the particles is projected at an angle of 30^(@) with the ground, then calculate the time of flight of the second ball.

A swimmer S is in the sea at a distance d km from the closest point A on a straight shore The house of the swimmer is at a distance L km from A on the shore. He can swim at a speed of ukm / hr and walk at a speed of vkm / hr(v>u) . At what point on the shore should he land so that he reaches his house in the shortest possible time?

A boy throws a stone with a speed of V_(0) = 10 m/sec at an angle of theta_(0)= 30^(@) to the horizontal Find the position of the stone wrt the point of projection just after a time t = 1/2 sec.

A body is projected horizontally with speed 30m//s from a very high tower. What will be its speed after 4sec-

A stone is dropped from the top of tower. When it has fallen by 5 m from the top, another stone is dropped from a point 25m below the top. If both stones reach the ground at the moment, then height of the tower from grounds is : (take g=10 m//s^(2) )

A stone is projected from the ground with velocity 50(m)/(s) at an angle of 30^@ . It crosses a wall after 3 sec. How far beyond the wall the stone will strike the ground (g=10(m)/(sec^2) ?

A stone is projected from the ground with velocity 50(m)/(s) at an angle of 30^@ . It crosses a wall after 3 sec. How far beyond the wall the stone will strike the ground (g=10(m)/(sec^2) ?

The speed of sound in water is 1500 m/s. A boat man hears an echo 3 s after sending a sound pulse into the sea. What is the depth of the sea?