Figure shows a 11.7 ft wide ditch with the approach roads at and angle of `15^0` with the horizontal. With what minimum speed should a mororbike be moving on the road so that it safely croses the ditch?

Assume that the length of thebike is 5 ft, and it leaves the road when the front part runs out of the approch road.

Consider a circular road of radius 20 meter banked at an angle of 15 degree. With what speed a car has to move on the turn so that it will have safe turn?

The road at a circular turn of radius 10 m is banked by an angle of 10^0 . With what speed should a vehicle move on the turn so that the normal contact force is able to provide the necessary centripetal force?

The road at a circular turn of radius 10 m is banked by an angle of 10^0 . With what speed should a vehicle move on the turn so that the normal contact force is able to provide the necessary centripetal force?

The road at a circular turn of radius 10 m is banked by an angle of 10^0 . With what speed should a vehicle move on the turn so that the normal contact force is able to provide the necessary centripetal force?

An effective tactic in tennis, when your opponent is near the net, consists of lofting the ball over his head, forcing him to move quickly away from the net (see figure). Suppose that you loft the ball with an initial speed of 15.0 m/s, at an angle of 50.0^(@) above the horizontal. At this instant your opponent is 10.0 m away from the ball. He begins moving away from you 0.30 s later, hoping to reach the ball and hit it back at the moment that it is 2.10 m above its launch point. With what minimum average speed must he move? (Ignore the fact that he can stretch, so that his racket can reach the ball before he does.)

A 2-m wide truck is moving with a uniform speed v_(0)=8 m/s along a straight horizontal road. A pedestrian starts to cross the road with a uniform speed v when the truck is 4 m away from him, The minimum value of v so that he can cross the road safely is .

a. A rail road flat car of mass M can roll without friction along a straight horizontal track . Initially, a man of mass m is standing on the car which is moving to the right with speed v_(0) . What is the change in velocity of the car if the man runs to the left so that his speed relative to the car is v_(rel) just before he jumps off at the left end? b. If there are n men each of mass m on the car, should they all run and jump off together or should they run and jump one by one in order to give a greater velocity to the car?

a. A rail road flat car of mass M can roll without friction along a straight horizontal track . Initially, a man of mass m is standing on the car which is moving to the right with speed v_(0) . What is the change in velocity of the car if the man runs to the left so that his speed relative to the car is v_(rel) just before he jumps off at the left end? b. If there are n men each of mass m on the car, should they all run and jump off together or should they run and jump one by one in order to give a greater velocity to the car?