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question_answer1) An aeroplane was flying horizontally with a velocity of \[720\text{ }km/h\] at an altitude of 490 m. When it is just vertically above the target a bomb is dropped from it. How far horizontally it missed the target (in m)?
question_answer2) Two cars A and B are moving west to east and south to north, respectively, along crossroads. A moves with a speed of \[20\,\,m{{s}^{-1}}\] and in 500 m away from point of intersection of cross roads and B moves with a speed of \[15\text{ }m/s\] and is 400 m away from the point of intersection of cross roads. Find the shortest distance between them (in m)?
question_answer3) The horizontal range of a projectile is \[4\sqrt{3}\]times its maximum height. Then find the angle of projection (in degree)
question_answer4) A projectile is thrown from a point in a horizontal plane such that its horizontal and vertical velocity component are \[9.8\text{ }m/s\] and \[19.6\text{ }m/s\] respectively. Find its horizontal range (in m)
question_answer5) A shell is fired from a gun from the bottom of a hill along its slope. The slope of the hill is \[\alpha =30{}^\circ ,\]and the angle of the barrel to the horizontal\[\beta =60{}^\circ \]. The initial velocity v of the shell is 21 m/sec. Find the distance of point from the gun at which shell will fall.
question_answer6) A particle P is projected from a point on the surface of smooth inclined plane (see figure). Simultaneously another particle Q is released on the smooth inclined plane from the same position. P and Q collide after t=4s. Find the speed of projection of P.
question_answer7) A stone is thrown horizontally from a tower. In 0.5 second after the stone began to move, the numerical value of its velocity was \[5/4\text{ }times\] its initial velocity. The initial velocity of stone is v m/s. Determine 3v
question_answer8) A cricket ball thrown from a height of 1.8 m at an angle of \[30{}^\circ \]with the horizontal at a speed of 18 m/s is caught by another field?s man at a height of 0.6 m from the ground. How far were the two men apart (in m)?
question_answer9) A ball is thrown horizontally from a point O with speed 20 m/s as shown. Ball strikes the incline plane along the normal to it after two seconds. Find value of x, if \[\beta ={\pi }/{x}\;\](where \[\beta \]is the angle of incline in degree).
question_answer10) A glass wind-screen of adjustable inclination is mounted on a car. The car moves horizontally with a speed of 6 m/s. At what angle \[\alpha \]with the vertical should the wind screen be adjusted so that the rain drops falling vertically with 2 m/s strike the wind screen perpendicularly (in degree)?
question_answer11) Two particles move in a uniform gravitational field with an acceleration g. At the initial moment the particles were located at one point and moved with velocities \[3\text{ }m/s\] and \[4\text{ }m/s\] horizontally in opposite directions. The distance between the particles at the moment when their velocity vectors become mutually perpendicular is \[\frac{14}{10}\sqrt{a}.\]Find the value of a (Question Modify)
question_answer12) The velocity of a particle when it is at its greatest height is \[\sqrt{\frac{2}{5}}\] of its velocity when it is at half its greatest height. The angle of projection of the particle is \[\theta {}^\circ \]. Find \[\frac{\theta {}^\circ }{10}\].
question_answer13) Two particles P and Q are launched simultaneously as shown in figure. Find the minimum distance between particles in meters.
question_answer14) A ball is projected on smooth inclined plane in direction perpendicular to line of greatest slope with velocity of 8 m/s. Find it?s speed after 1 s (in m/s)
question_answer15) A person decided to walk on an escalator which is moving at constant rate (speed). When he moves at the rate 1 step/sec, then he reaches top in 20 steps. Next day he goes 2 steps/sec. and reaches top in 32 steps. If speed of escalator is n steps/sec. Find the value of n.
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Ball strikes the incline plane along the normal to it after two seconds. Find value of x, if \[\beta ={\pi }/{x}\;\](where \[\beta \]is the angle of incline in degree). 
