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A ball is projected from point A with velocity 10 m s-1 perpendicular to the inclined plane as shown in the figure. Range of the ball on the inclined plane is

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Important Questions on Motion in a Plane

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On an inclined plane inclined at an angle of 30° to the horizontal, a ball is thrown upwards with a velocity of 10 m s-1, at an angle of 60° to the inclined plane. Its range on the inclined plane is
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A man desires to swim across the river in shortest time. The velocity of river water is 3 km h-1. He can swim in still water at 6 km h-1. At what angle with the velocity of flow of the river should he swim?
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A man standing on a road has to hold his umbrella at 30° with the vertical to keep the rain away. He throws the umbrella and starts running at 5 km/h. Now he finds that raindrops are hitting his head vertically. Find the speed of the raindrops w.r.t.

(i) The road
(ii) The moving man.

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Two ships are 10 km apart on a line running south to north. The one farther north is steaming west at 40 km/hr. The other is steaming north at 40 km/hr. What is their distance of closest approach (in km ) and how long do they take to reach it?
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A man can swim at 4 m s-1 in a still water swimming pool. He enters a 200 m wide river at one bank and swims (w.r.t. water) at an angle of 60° to the river flow velocity. The river flow velocity is 5 m s-1. In how much time does he cross the river? Calculate his drift.
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A car drives due north at 50 km/hr. Wind blows due North-West at 502 km/hr. In what direction, a flag hoisted on the roof of the car points?
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The acceleration of a particle performing uniform circular motion on a circular path of radius 2 m and completing 120 revolutions per minute is
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Two particles of equal masses are revolving in circular paths of radii r1 and r2, respectively, with the same speed. The ratio of their centripetal forces is,