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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 :
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 is
For the round trip he should cross perpendicular to the river
∴ Time for trip to that side
To come back, again he take 0.25 hr to cross the river.
Total time is 30 min, he goes to the other bank and come back at the same bank.
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.
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
If the train is moving towards the east and the car is moving towards the north with the same speed, then from the perspective of the passenger in the train, the car will appear to be moving in the west-north direction due to the relative motion between the train and the car.
If the body is moving in a circle of radius r with a constant speed v, its angular velocity is
⇒ = constant [As v and r are constant]
Two racing cars of masses m1 and m2 are moving in circles of radii r1 and r2 respectively. Their speeds are such that each makes a complete circle in the same duration of time t. The ratio of the angular speed of the first to the second car is
As time periods are equal therefore the ratio of angular speeds will be one.
If a particle moves in a circle describing equal angles in equal times, its velocity vector
It is always directed in a direction of tangent to circle.
A motor cyclist going round in a circular track at constant speed has
Linear velocity, acceleration and force varies in direction.
Two bodies of mass 10 kg and 5 kg moving in concentric orbits of radii R and r such that their periods are the same. Then the ratio between their centripetal acceleration is
[As Tr = TR]
A particle is moving in a horizontal circle with constant speed. It has constant
K.E. . Which is scalar, so it remains constant.
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The bank mixes NEET previous year questions (PYQs) with practice questions, each tagged with its exam appearances where applicable.