In which direction would a compass free to move in the vertical plane point to, if located right on the geomagnetic north or south pole?

A tower makes an angle of 60^@ at a point P lying in the same plane. From a point Q which is at a vertical distance of 10m from P, the angle of depression of the floor of the tower is 30^@ .Find the height of the tower.

A player throws a bail upwards with an initial speed of 29.4 m s^-1 . Choose the x = 0 m and t = 0 s to be the location and time of the bail at its highest point, vertically downward direction to be the positive direction of x-axis, and give the signs of position, velocity and acceleration of the ball during its upward, and downward motion.

Find the equation to the locus of a point which moves in a plane such that its distance from the point (1, 2) is equal to its distance from the Y-axis.

Rain is falling vertically with a speed of 30 m s^-1 . A woman rides a bicycle with a speed of 10 m s^-1 in the north to south direction. What is the direction in which she should hold her umbrella?