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What is the minimum speed to hit the co-ordinate (a,b) if fired from the origin ? (gravity = g , along negative Y axis) ...
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A projectile is fired from height h with a speed V0.What is thje angle of projection so that range is maximum ? ...
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A projectile is fired from the ground and it bursts at the highest point and explodes into two halves.We apply law of conservation of momentum in horizontal direction.Gravity is purely vertical , so we have no problem conserv ...
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Product of any 4 consecutive integers is always 1 less than a perfect square. ...
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Find out integers such that (a+b+c+d)2=a3+b3+c3+d3 Let me make it simpler .. find integers so that (a1+a2+a3...an)2=a13+a23+a33...an3 ...
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∫(1/(x3+x4))dx ...
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x+x+x..x times = x^2 differentiate both sides w.r.t x 1+1+1..x times = 2x x =2x what is happenning ? ...
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Find the smallest number such that if the first digit is carried and put at the last the new number is thrice the original number. ...
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x = 4+ 4- 4+ ......∞ x = ? ...
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g(x+1)+g(x-1)=g(x)..Find the period of g(x). ...
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Two parallel proton beams are moving in same directions.Will they attract or repel each other ?? ...
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Three particles each of charge +q are placed on the vertices of a equilateral triangle of side 'a' .Now they all start moving away from each other symmetrically under the action of electrostatic force.What is the work ...
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Let A is behind B in a race.B is having initial lead of 's' and velocities of A and B are VA and VB respectively.Given that VA > VB . We know sometime later A will overtake B. But , what is wrong with the following ...
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plot |y| = sinx ...
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*Image* There are 6 slots filled with 1 , 0 in the above order.Now you can operate on any two adjacent sectors and increase the values of both by 1 at a time.you can change the values of two adjacent sectors only at a time.Is ...
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*Image* There are 6 slots filled with 1 , 0 in the above order.Now you can operate on any two adjacent sectors and increase the values of both by 1 at a time.you can change the values of two adjacent sectors only at a time.Is ...
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A has n+1 fair coins and B has n fair coins.If they toss all the coins , what is the probability that A gets more heads than B ? ...
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*Image* What will happen to the basisity of the compound with increase in n ? ...
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*Image* After making exactly (n-1) collisions with the horizontal walls of the board (upper and lower combined) the particle falls into the pocket B.Obviously, the (n-1)th collision takes place on the upper wall.Find out the ...
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Is it true that (p2-1) is always divisible by 24 if p is a prime number greater than equal to 5 ? if Yes how ? ...
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f(x) and g(x) are two polynomials such that f(x2+x+1)=f(x)g(x). Show that f(x) is a polynomial of even order.(i.e. highest power of x in f(x) is even). ...
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*Image* In the above figure , if both blocks are at rest at t= 0, find the time after which the blocks collide.Treat the blocks as point masses and the initial separation as √2 m. Answer - (2/√5)s. ...
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*Image* A projectile is fired with a speed 10 m/s , at an angle 30° with the horizontal.Find the time after which the velocity is perpendicular to the initial velocity of Projection.Take g as 10 m/s^2. 1.2s 2.2.5 s 3.1s 4.No ...
