Motion in a Plane questions
631 published questions with worked solutions.
- Two identical bodies, projected with the same speed at two different angles cover the same horizontal range R. If the time of...
- A bullet is fired from a gun at the speed of 280 m s^ -1 in the direction 30° above the horizontal. The maximum height attained...
- A particle moving in a circle of radius R with a uniform speed takes a time T to complete one revolution. If this particle were...
- A car starts from rest and accelerates at 5 m/s^2. At t = 4 s, a ball is dropped out of a window by a person sitting in the car....
- Position of an ant (S in metres) moving in Y-Z plane is given by S = 2t^2 j + 5 k (where t is in second). The magnitude and...
- A ball rolls off the top of a stairway with horizontal velocity u. The steps are 0.1 m high and 0.1 m wide. The minimum velocity...
- A vector has magnitude same as that of A = 3 i + 4 j and is parallel to B = 4 i + 3 j. The x and y components of this vector in...
- If two vectors A⃗ and B⃗ having equal magnitude R are inclined at an angle θ, then
- A body starts falling freely from height H hits an inclined plane in its path at height h. As a result of this perfectly elastic...
- The ranges and heights for two projectiles projected with the same initial velocity at angles 42° and 48° with the horizontal are...
- A mosquito is moving with a velocity v =0.5t^2 i +3t j +9 k m/s and accelerating in uniform conditions. What will be the...
- A swimmer can swim with velocity 12 km/h in still water. Water flowing in a river has velocity 6 km/h. The direction with respect...
- The velocity of a particle is v = v_0 + gt + Ft^2. Its position is x = 0 at t = 0; then its displacement after time (t = 1) is :
- A person is swimming with a speed of 10 m/s at an angle of 120° with the flow and reaches a point directly opposite on the other...
- A boy reaches the airport and finds that the escalator is not working. He walks up the stationary escalator in time t_1. If he...
- Two vectors P and Q have equal magnitudes. If the magnitude of P + Q is n times the magnitude of P - Q , then angle between P and...
- A butterfly is flying with a velocity 4 2 m/s in North-East direction. Wind is slowly blowing at 1 m/s from North to South. The...
- Three particles P, Q and R are moving along the vectors A = i + j , B = j + k and C =- i + j respectively. They strike on a point...
- Two boys are standing at the ends A and B of a ground, where AB = a. The boy at B starts running in a direction perpendicular to...
- A swimmer wants to cross a river from point A to point B. Line AB makes an angle of 30° with the flow of river. Magnitude of...
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