EASY
JEE Main/Advance
IMPORTANT
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For a projectile thrown up an incline plane (making an angle θ with horizontal), maximum range on the incline can be achieved by projecting at an angle °+θ2 from the horizontal ( θ is acute).

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Important Questions on Motion in a Plane

EASY
JEE Main/Advance
IMPORTANT
For a projectile thrown at an angle θ with the horizontal ground, maximum range on the ground can be achieved by projecting at θ=_____°. (In degrees)
MEDIUM
JEE Main/Advance
IMPORTANT
If angle of incline is 37° from horizontal and body is projected up at 53° from the incline then range will be.
HARD
JEE Main/Advance
IMPORTANT

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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MEDIUM
JEE Main/Advance
IMPORTANT
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
EASY
JEE Main/Advance
IMPORTANT
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?
MEDIUM
JEE Main/Advance
IMPORTANT

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.

MEDIUM
JEE Main/Advance
IMPORTANT
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?
MEDIUM
JEE Main/Advance
IMPORTANT
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.