At the foot of a hill a certain velocity is imparted to a sled, as a result of which the sled moves up the hill to a point A and then down the hill. What are the directions of the normal and tangential components of the acceleration at point A ?

An object moves without friction along a concave surface. What are the directions of the normal and tangential components of the acceleration at the lowest possible point ?

A uniform rod of length L is rotating about its one end in the horizontal plane under constant aceeleration alpha starting from rest. Find the linear velocity of its mid-point after time t_(0) . Also, find the normal and tangential components of acceleration of the mid-point of the rod at this instant.

A tree stands vertically on a hill side which makes an angle of 15o with the horizontal. From a point on the ground 35m down the hill from the base of the tree, the angle of elevation of the top of the tree is 60o . Find the height of the

Two shots are projected from a gun at the top of a hill with the same velocity u at angles of projection alpha and beta respectively. If the shots strike the horizontal ground through the foot of the hill at the same point, show that the height h of the hill above the plane is given by : h = (2u^(2)(1-tan alpha tan beta))/(g(tan alpha+tan beta)^(2))

A body of mass M was slowly hauled up a rough hill by a force F which at each point was directed along a tangent to the hill. Work done by the force

A stone is thrown by a student from the bottom of a hill with a velocity 30 ms^(-1) making an angle of 60^(@) with the horizontal. If the slpe of the hill is 30 ^(@) with the horizontal. Find the distance from the student to a point at which the stone fals on hill, use g= 10 ms^(-2) .

A tree stands vertically on a hill side which makes an angle of 15^(@) with the horizontal. From a point on the ground 35m down the hill from the base of three,the angle of elevation of the top of the tree is 60^(0). Find the height of the tree.

A pencil is placed vertically on a table top with its point end up and its sticky eraser end down As it falls over from this unstable. Position. Its point of contact with the tangential acceleration of its tip.