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Two boats A and B, having the same speed relative to the river are moving in a river. The boat A moves normal to the river current, as observed by an observer moving with the velocity of the river current. The boat B moves normal to the river, as observed by the observer on the ground. Choose the incorrect options.

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Important Questions on Kinematics

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JEE Main/Advance
IMPORTANT
An open elevator is ascending with zero acceleration and speed 10 m s-1. A ball is thrown vertically up by a boy (boy is in the elevator) when he is at a height 10 m from the ground.  The velocity of projection is 30 m s-1 with respect to the elevator. Choose the correct options assuming the height of the boy to be very small g=10 m s-2.
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JEE Main/Advance
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Shots fired simultaneously from the top and foot of a vertical cliff at elevations of 30° and 60°, respectively, strike an object simultaneously which is at a height of 100 m from the ground and at a horizontal distance of 2003 m from the cliff. Find the height of the cliff, the velocities of projection of the shots and the time taken by the shots to hit the object g=10 m sec-2.
HARD
JEE Main/Advance
IMPORTANT
A ball is projected from the ground at an angle of 45° with the horizontal surface. It reaches a maximum height of 120 m and returns to the ground. Upon hitting the ground for the first time, it loses half of its kinetic energy. Immediately after the bounce, the velocity of the ball makes an angle of 30° with the horizontal surface. The maximum height it reaches after the bounce, in metres, is ___.
HARD
JEE Main/Advance
IMPORTANT

A ball is thrown from ground at an angle θ with horizontal and with an initial speed u0. For the resulting projectile motion, the magnitude of average velocity of the ball up to the point when it hits the ground for the first time is V1. After hitting the ground, the ball rebounds at the same angle θ but with a reduced speed of u0α. Its motion continues for a long time as shown in figure. If the magnitude of average velocity of the ball for entire duration of motion is 0.8V1, the value of α is,

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EASY
JEE Main/Advance
IMPORTANT

A particle has an initial velocity 3i^+4j^ and an acceleration of 0.4i^+0.3j^. Its speed after 10 s is,

MEDIUM
JEE Main/Advance
IMPORTANT
A particle is moving with velocity v=K(yi+xj), where K is a constant. The general equation for its path is
EASY
JEE Main/Advance
IMPORTANT
A water fountain on the ground sprinkles water all around it. If the speed of the water coming out of the fountain is v, the total area around the fountain that gets wet is
MEDIUM
JEE Main/Advance
IMPORTANT
A boy threw a stone up to a maximum height of 10 m. The maximum horizontal distance that the boy can throw the stone will be,