How long will a plane take to fly around a square with side a with the wind blowing at a velocity u, in the two cases (a) the direction of the wind coincides with one of the sides (b) the direction of the wind coincides with one diagonal of the square. The velocity of the plane in still air is `v gt u`..

Find the time an aeroplane having velocity v takes to fly around a square with side a if the wind is blowing at a velocity u along one side of the square.\

Find the time an aeroplane having velocity v takes to fly around a square with side a if the wind is blowing at a velocity u along one side of the square.\

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.

If rain falls vertically with a velocity V_r and wind blows with a velocity V_w from east to west, then a person standing on the roadside should hold the umbrella in the direction

A sqaure of side 4 cm is inscirbed in a circular quadrant such that one of the corners of the square coincides with the centre of the quadrant and the diagonally opposite corner lies on the periphery of the quadrant. The area of the quadrant not covered by the square is

Four point masses of 5 g each are placed at the four corners fo a square of side 10 cm. Find the moment of inertia of the system (i) about an axis coinciding with one of the sides and (ii) about an axis passing through the point of intersection of the diagonals and perpendicular to the plane of the square.

Wind is blowing to east along two parallel railway tracks. Two trains moving with the same speed in opposite direction have the steam track of one double that of the other. The speed of each train is