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When a force F acts on a particle of mass m, the acceleration of particle becomes a. Now if two forces of magnitude 3 F and 4 F acts on the particle simultaneously as shown in figure, then the acceleration of the particle is

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Important Questions on Motion in a Plane

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Out of the two cars A and B, car A is moving towards east with a velocity of 10 m s-1 whereas B is moving towards north with a velocity 20 m s-1, then velocity of A w.r.t. B is (nearly)
HARD
NEET
IMPORTANT
A man moves in an open field such that after moving 10 m on a straight line, he makes a sharp turn of 60° to his left. The total displacement just at the start of 8th  turn is equal to
HARD
NEET
IMPORTANT
Four persons P, Q, R and S are initially at the four corners of a square of side d. Each person now moves with a constant speed v in such a way that P always moves directly towards Q, Q towards R, R towards S, and S towards P. The four persons will meet after time
HARD
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IMPORTANT
A particle is projected at angle θ with horizontal from ground. The slop (m) of the trajectory of the particle varies with time (t) as
EASY
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IMPORTANT
If H1 and H2 be the greatest heights of a projectile in two paths for a given value of range, then the horizontal range of projectile is given by
EASY
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IMPORTANT
If R and H are the horizontal range and maximum height attained by a projectile, than its speed of projection is
MEDIUM
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A particle projected from ground moves at angle 45° with horizontal one second after projection and speed is minimum two seconds after the projection. The angle of projection of particle is [Neglect the effect of air resistance]
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IMPORTANT
A ball is projected from ground at an angle 45° with horizontal from distance d1 from the foot of a pole and just after touching the top of pole it the falls on ground at distance d2 from pole on other side, the height of pole is