Physics-Motion in Two Dimension-PSS 2

Two tall buildings are 45 m apart. With what velocity must a ball be thrown horizontally from a window 50 m above the ground in one building so that it enters a window 5.9 m above the ground in the other building? A shell is fired at an angle of 30º to the horizontal with a velocity of 392 ms–1. Find the time of flight, horizontal range and the maximum height attained. A bullet fired at an angle 60º with the vertical hits the ground at a distance of 2 km. Calculate the distance at which the bullet will hit the ground when fired at an angle of 45º, assuming the speed to be same. The maximum range of gun on a horizontal terrain is 16 km. If g is 10 m/s2, find the muzzle velocity of the shell. A ball is projected at an angle of 45º, above the horizontal. The horizontal range is 10 m. (a) What is the maximum height to which the ball rises? (b) For the same initial speed what are the two angles of departure for which the range is 6 m? A boy is able to throw a ball to a maximum height of 30 m. What maximum distance can be throw the ball in a horizontal direction. A person can row a boat 4 m/s in still water. Suppose he is crossing a river where the current is 2 m/s, in what direction will his boat should be heading, if he wants to reach a point directly opposite to his stating point? If the river is 200 m wide, how long will it take to cross the river? Rain is falling vertically with a speed of 30 ms -1. A woman rides bicycle with a speed of 10 ms-1 in the north to south direction. What is the direction in which she should hold her umbrella? Wind is blowing from south at 10 m/s, but to a cyclist it appears to be blowing from the east at 10 m/s. Determine the velocity of the cyclist in vector form. A cat is climbing a vertical pole with a speed of 4 m/s and a dog is running toward the pole with a speed of 8 m/s. What is the velocity of the dog relative to the cat? A ship is steaming north at km/h, and a man walks across its deck in a direction due west at 8 km/h. Find his resultant velocity in the ship. A train is accelerating towards north at the rate of 4.9 m/s2. Find the acceleration of a bolt which falls from the ceiling relative to (a) the train and (b) to the earth? On a rainy day, the rain was falling vertically with a speed of 15 ms-1. A wind started blowing, with a speed of 5 m/s-1 from north to south. In which direction should a girl waiting at a bus stop hold her umbrella? Two trains are moving in opposite direction tracks, one with a velocity twice that of the other. If the length of the trains is 126 metre and they take 3 seconds to cross each other, find the individual velocities. Two ships A and B start from the same point. A sails 16 km per hour towards east and B sails 12 km per hour towards north. Find the relative velocity of B with respect to A and the distance between them after 5 hours. A train is traveling at 40 km per hour due west near a road along which a car is driven due north-west at 22.5 km.p.h. Find the speed and direction of the car as it appears to a man in the strain. A lady walking on a road with a velocity of 3 km.p.h. encounters rain falling vertically with a velocity of 15 km.p.h. At what angle should she hold her umbrella to protect herself from the rain. The Catalyst The Catalyst www.thecatalystgroup.co.in www.thecatalystgroup.co.in The Catalyst www.thecatalystgroup.co.in