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(i) A block is connected to an ideal spring on a horizontal frictionless surface. The block is pulled a short distance and released. Plot the variation of kinetic energy of the block vs the spring potential energy. (ii) A ball of mass 200 g is projected from the top of a building 20 m high. The projection speed is 10 m/s at an angle theta=sin^(-1)(3/5) from the horizontal. Sketch a graph of kinetic energy of the ball against height measured from the ground. Indicate the values of kinetic energy at the top and bottom of the building and at the highest point of the trajectory, specifying the heights on the graph. Neglect air resistance and take g = 10 m//s^(2)

A ball is projected horizontally from the top of tower at 12 m//s as shown in figure. Wind is blowing as indicated (Horizontally) which causes acceleration 6 m//s^(2) horizontally. Magnitude of displacent of ball when it strikes back the tower (g = 10 m//s^(2))

A jetliner can fly 6.00 hours on a full load of fuel. Without any wind it flies at a speed of 2.40xx10^(2)m//s . The plane is to make a round-trip by heading due west for a certain distance, turning around, and then heading due east for the return trip. During the entire flight, however, the plane encounters a 57.8 m/s wind from the jet stream, which blows from west to east. What is the maximum distance that the plane can travel due west and just be able to return home?

A plane takes t times10^(2) seconds to fly around a square with side 3.5km when the wind is blowing steady at a speed 30sqrt(2)m/s parallel to one of the diagonals of square.The velocity of plane in still air is 50m/s .Find t.