A man weighing 80 kg is standing in a trolley weighing 320 kg. The trolley is resting on frictionless horizontal rails. If the man starts walking on the trolley with a speed of 1 m/s, then after 4 sec his displacement relative to the ground will be
1. 5 m
2. 4.8 m
3. 3.2 m
4. 3.0 m
Six particles situated at the corners of a regular hexagon of side 'a' move at constant speed v. Each particle maintains a direction towards the particle at the next. The time which the particles will take to meet each other is-
1.
2.
3.
4.
A ship A is moving westwards with a speed of 10 km and a ship B, 100 km south of A is moving northwards with a speed of 10 km . The time after which the distance between them becomes the shortest, is:
1. 5 hr
2. hr
3. hr
4. 0 hr
A river is flowing with a speed of 1 km/hr. A swimmer wants to go to point 'C' starting from 'A'. He swims with a speed of 5 km/hr, at an angle with respect to the river. If AB=BC=400m. Then-
(1) time taken by the man is 12 min
(2) time taken by the man is 8 min
(3) the value of is 45
(4) the value of is 53
Two men P & Q are standing at corners A & B of square ABCD of side 8 m. They start moving along the track with constant speed 2 m/s and 10 m/s respectively. The time when they will meet for the first time, is equal to:
1. 2 sec
2. 3 sec
3. 1 sec
4. 6 sec
A boat is sent across a river in perpendicular direction with a velocity of 8 km/hr. If the resultant velocity of boat is 10 km/hr, then velocity of the river is :
(1) 10 km/hr
(2) 8 km/hr
(3) 6 km/hr
(4) 4 km/hr
A boat is moving with velocity of in river and water is moving with a velocity of with respect to ground. Relative velocity of boat with respect to water is:
(1)
(2)
(3)
(4)
A boat moves with a speed of 5 km/h relative to water in a river flowing with a speed of 3 km/h and having a width of 1 km. The minimum time taken around a round trip(returning to the initial point) is:
(1) 5 min
(2) 60 min
(3) 20 min
(4) 30 min
A river is flowing from W to E with a speed of 5 m/min. A man can swim in still water with a velocity 10 m/min. In which direction should the man swim so as to take the shortest possible path to go to the south.
(1) 30° with downstream
(2) 60° with downstream
(3) 120° with downstream
(4) South
A train is moving towards east and a car is along north, both with same speed. The observed direction of car to the passenger in the train is
(1) East-north direction
(2) West-north direction
(3) South-east direction
(4) None of these