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A projectile projected from the ground has its direction of motion making an angle π4 with the horizontal at a height 40 m. Its initial velocity of projection is 50 m s1, the angle of projection is

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Important Questions on Motion in a Plane

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JEE Main/Advance
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Two bullets are fired simultaneously from the same level and in the horizontal direction over a lake. The speed of one bullet is 196 ms-1. Assume that air friction is negligible and the lake is still. The bullet which is faster will, compared to the slower one, fall in the water
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JEE Main/Advance
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An aeroplane is moving horizontally with a velocity of u. It drops a packet from a height h. The time taken by the packet in reaching the ground will be
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JEE Main/Advance
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A body of mass m thrown horizontally with a velocity v from the top of the tower of height h touches the ground at a distance 250 m from the foot of tower. Another body of mass 2 m thrown horizontally with half the velocity from a tower of height 4h will touch the ground at a distance
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JEE Main/Advance
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From the top of a tower of height 40 m a ball is projected upward with a speed of 20 ms-1 at an elevation of 30°. The ratio of the total time taken by the ball to hit the ground to its time to come back at the same level is g=10 ms-2
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A stair case contains three steps having height 10 cm each. If each are 20 cm wide then the minimum horizontal velocity of a ball moving off the upper mark plane so as to hit the lowest plane directly is
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A projectile is fired horizontally from an inclined plane (of inclination 45° with horizontal) with speed 50 m s1. If g=10 m s2, the range measured along the incline is
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JEE Main/Advance
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A block of mass 5 kg and surface area 2 m2 just begins to slide down on an inclined plane, when the angle of inclination is 30°. Keeping the mass same, the surface area of the block is doubled. The angle at which it starts sliding down is
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If time taken by the projectile to reach B is T, then AB is equal to

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