Motion in a Plane questions
631 published questions with worked solutions.
- Two stones are projected from the top of a cliff h metres high, with the same speed u, so as to hit the ground at the same spot....
- A ball is thrown from a point with a speed v_0 at an angle of projection . From the same point and at the same instant person...
- A projectile can have the same range R for two angles of projection. If T_1 and T_2 be the time of flights in the two cases, then...
- If t_1 and t_2 are the times of flight of two particles having the same initial velocity u and range R on the horizontal, then...
- A particle is projected from a point O with velocity u at an angle of 60^ with the horizontal. When it is moving in a direction...
- A particle is projected at 60^ to the horizontal with a kinetic energy K. The kinetic energy at the highest point is
- A particle just clears a wall of height b at distance a and strikes the ground at a distance c from the point of projection. The...
- An object moves from positions (6, 8) to (12, 10) in the XY-plane. Magnitude and direction of displacement is
- A particle moves along the positive branch of the curve y = x^2 2 , where x = t^2 2 . Here, x and y are measured in metres and t...
- The position vector of an object at any time t is given by 3t^2 i + 6t j + k . Its velocity along Y-axis has the magnitude
- The coordinates of a moving particle at any time t are given by x = ct^2 and y = bt^2. The speed of the particle is given by
- A train is moving towards East and a car is along North, both with same speed. The observed direction of car to the passenger in...
- A 100 m long train crosses a man travelling at 5 km ,h^ -1 , in opposite direction, in 7.2 s, then the velocity of train is
- A stationary man observes that the rain is falling vertically downward. When he starts running with a velocity of 12 km ,h^ -1 ,...
- The speed of boat is 5 km ,h^ -1 in still water. It crosses a river of width 1 km along the shortest possible path in 15 min....
- The rowing speed of a man relative to water is 5 km ,h^ -1 and the speed of water flow is 3 km ,h^ -1 . At what angle to the...
- Two trains are each 50 m long moving parallel towards each other at speeds 10 m ,s^ -1 and 15 m ,s^ -1 respectively, at what time...
- A football player throws a ball with a velocity of 50 m ,s^ -1 at an angle 30^ from the horizontal. The ball remains in the air...
- A particle is projected with a velocity of 20 m ,s^ -1 at an angle of 60^ to the horizontal. The particle hits the horizontal...
- If the initial velocity of a projection be doubled, keeping the angle of projection same, the maximum height reached by it will
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