A man running along a circular track has the speedof 10 km per hour. A source of light is at the centre of the circular track. A wall is along the tangent to the circular track at the point from which he starts.What is the speed of the shadow of the man on the wall when he covers `1/8th` of the track? (Assume thetrack to be a line.)

A horse runs along a circle with a speed of 20km/h .A lantern is at the centre of the circle.A fence is along the tangent to the circle at the point at which the horse starts. Find the speed with which the shadow of the horse moves along the fence at the moment when it covers 1/8of the circle in km/h .

A man running along a circlar track at the rate of 10 miles per hour,traverses in 36 seconds, an arc which subtends 56^(@) at the centre.Find the diameter of the circle.

As shown in figure AB represents an infinite wall tangential to a horizontal semi circular track. O is a point source of light on the ground at the centre of the circle. A block moves along the circular track with speed v starting from the point where the wall touches the circle. If the velocity and acceleration of shadow along the length of the wall is respectively 'V' and 'a' then,

An old man moves on a semi-circular track of radius 7 km during a morning walk. If he starts at one end of the truck and reaches at the other end, the distance and displacement of the person are :

A tortoise can complete a full round on the circular track in 8 min, while the rabbit can do the same on the same circular track in 5 min. A,B,C and D are the four consecutive points on the circular track which are equidistant from each other. A is opposite to C and B is opposite to D. After how many min. will they meet together for the first time when both have started simultaneously from the same point in the same direction?