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A marble rolls off horizontally from the edge of the table and lands on the floor. 1)How long does the marble take to reach the floor? 2)At what horizontal distance from the edge of the table does the marble land? 3)What is t ...
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If R be the range of a projectile on horizontal plane, and H1 and H2 be the maximum heights for its two possible trajectories,find the relation between the given parameters. ...
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A particle is projected with velocity 2√(gh) so that it just clears two walls of height h which are at a distance of 2h apart from each other. Prove that the time of passing between the two walls is 2√(h/g). ...
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A body moves with speed 20m/sec for 10 sec and then with 30m/sec for some distance. The average speed may be (A) 8m/sec (B) 15m/sec (C) 25m/sec (D) all of these are possible ...
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Using vectors prove that : *Image* the co-ordinates of C is (x1+x2,y1+y2) Given : the coordinates of A are (x2,y2) and the coordinates of B are (x1,y1) and OACB is a parallelogram (Y and X represent the coordinate axes) ...
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*Image* ...
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*Image* I have a lenghty solution,but if anyone can give a shortcut method for this? ...
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If the velocity v of a particle moving along a straight line decreases linearly woth its displacement s from 20 metre per second to a value approaching zero at s=30 metre, then acceleration of the particle at s =15 metre is ...
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The horizontal and vertical distances traveled by a particle in time t are given by x = 6t and y=8t-5t^2 . If g=10m/sec^2 , then the initial velocity of the particle is a) 8 m/sec b) 10 m/sec c) 5 m/sec d) zero ...
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The velocity-time graph of a body is shown in figure. The displacement covered by the body in 8 seconds is *Image* a) 10 m b) 9 m c) 24 m d) 30 m ...
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Assuming the mass 'm' of the largest stone that can be moved by a flowing river depends upon the velocity 'v' of water,density 'd' of water and acceleration due to gravity 'g'. Show that 'm' varies as the sixth power of the v ...
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The second’s hand of a watch has length 6 cm. Speed of end point and magnitude of difference of velocities at two perpendicular positions will be a) 6.28 and 0 mm/s b) 8.88 and 4.44 mm/s c) 8.88 and 6.28 mm/s d) 6.28 and 8. ...
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In the Bohr model of a hydrogen atom, the centripetal force is furnished by the coulomb attraction between the proton and the electron. If {{a}_{0}} is the radius of the ground state orbit, m is the mass, e is the charge on t ...
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The graph between the displacement x and time t for a particle moving in a straight line is shown in figure. During the interval OA, AB, BC and CD, the acceleration of the particle is *Image* a) (+, 0, +, +) b) (-, 0, +, 0) c ...
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The ratio of an angular speed of hours hand and seconds hand of a clock is a) 1:1 b) 1:60 c) 1:720 d) 3600:1 ...
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A body starts from rest with uniform acceleration. If its velocity after n second is upsilon , then its displacement in the last two seconds is a) frac{2upsilon left( n+1 ight)}{n} b) frac{upsilon left( n+1 ight)}{n} c) frac{ ...
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If the body covers one-third distance at speed v1, next one third at speed v2 and last one third at speed v3, then average speed will be a) frac{{{upsilon }_{1}},{{upsilon }_{2}}+{{upsilon }_{2}},{{upsilon }_{3}}+{{upsilon }_ ...
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A car A is travelling on a straight level road with a uniform speed of 60 km/h. It is followed by another car B which is moving with a speed of 70 km/h. When the distance between them is 2.5 km, the car B is given a decelerat ...
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A ball is thrown vertically upward from the 12 metre level with an initial velocity Of 18 metres / second. At the same instant an open platform elevator passes the 5 metre level, moving upward with a constant velocity of 2 me ...
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A car moves along a horizontal circular road of radius r with velocity v. The coefficient of friction between the wheels and the road is mu . Which of the following statements is not true ...