Motion in a Plane questions
631 published questions with worked solutions.
- A projectile is given an initial velocity of ( i +2 j ) m/s, where i is along the ground and j is along the vertical. If g = 10...
- A projectile is thrown upward at an angle 60^ with the horizontal. The speed of the projectile is 20 m/s when its direction of...
- A boy thrown a ball into air at 45º from the horizontal to land it on a roof of a building of height H. If the ball attains...
- A ball of mass 100 g is projected with velocity 20 m/s at 60° with horizontal. The decrease in kinetic energy of the ball during...
- A ball having kinetic energy KE, is projected at an angle of 60° from the horizontal. What will be the kinetic energy of ball at...
- The position vector of a moving body at any instant of time is given as r = (5t^2 i -5t j )m. The magnitude and direction of...
- Two projectiles are fired with same initial speed from same point on ground at angles of (45° – α) and (45° + α), respectively,...
- The maximum speed of a boat in still water is 27 km/h. Now this boat is moving downstream in a river flowing at 9 km/h. A man in...
- Ship A is sailing towards north-east with velocity v = 30 i + 50 j km/hr where i points east and j, north. Ship B is at a...
- The stream of a river is flowing with a speed of 2 km/h. A swimmer can swim at a speed of 4 km/h. What should be the direction of...
- The position vector of a particle changes with time according to the relation r(t) = 15t^2 i + (4 - 20t^2) j. What is the...
- A particle is moving with a velocity v = K(y i + x j), where K is a constant. The general equation for its path is:
- A shell is fired from a fixed artillery gun with an initial speed u such that it hits the target on the ground at a distance R...
- The trajectory of a projectile near the surface of the earth is given as y = 2x - 9x^2. If it were launched at an angle _0 with...
- A person standing on an open ground hears the sound of a jet aeroplane, coming from north at an angle 60° with ground level. But...
- A passenger train of length 60 m travels at a speed of 80 km/hr. Another freight train of length 120 m travels at a speed of 30...
- A body is projected at t = 0 with a velocity 10 ms^ -1 at an angle of 60° with the horizontal. The radius of curvature of its...
- Two forces P and Q, of magnitude 2F and 3F, respectively, are at an angle θ with each other. If the force Q is doubled, then...
- Two particles are projected from the same point with the same speed u such that they have the same range R, but different maximum...
- The sum of two forces P and Q is R such that | R |=| P |. The angle (in degrees) that the resultant of 2 P and Q will make with Q...
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