Motion in a Plane questions
631 published questions with worked solutions.
- A particle of mass m is projected with a speed u from the ground at an angle = 3 w.r.t. horizontal (x-axis). When it has reached...
- Train A is moving along two parallel rail tracks towards north with speed 72 km/h and train B is moving towards south with speed...
- A particle moving in a circle of radius R with uniform speed takes time T to complete one revolution. If this particle is...
- The co-ordinates of a particle moving in x-y plane are given by: x = 2 + 4t, y = 3t + 8t^2. The motion of the particle is:
- Two forces F_1 and F_2 are acting on a body. One force has magnitude thrice that of the other force and the resultant of the two...
- The angle between vector Q and the resultant of (2 Q + 2 P) and (2 Q - 2 P) is:
- A particle moves in x-y plane under the influence of a force F such that its linear momentum is P(t) = i (kt) - j (kt). If k is...
- The maximum height reached by a projectile is 64 m. If the initial velocity is halved, the new maximum height of the projectile...
- A particle is moving along the x-axis with its coordinate with time 't' given by x(t)=10+8t-3t^2. Another particle is moving...
- A particle moves such that its position vector r (t)= t , i + t , j where is a constant and t is time. Then which of the...
- The angle of projection for a projectile to have same horizontal range and maximum height is:
- A body of mass M thrown horizontally with velocity v from the top of the tower of height H touches the ground at a distance of...
- When a car is at rest, its driver sees rain drops falling on it vertically. When driving the car with speed v, he sees that rain...
- A ball is projected with a velocity, 10 m s^ -1 , at an angle of 60° with the vertical direction. Its speed at the highest point...
- The velocity of a particle is given as v = -x i + 2y j - z k m/s. The magnitude of acceleration at point (1, 2, 4) is _______...
- Two projectiles are projected with the same initial velocities at the 15° and 30° with respect to the horizontal. The ratio of...
- Two cars A and B are moving in the same direction along a straight line with speeds 100 km/h and 80 km/h, respectively such that...
- If x and y coordinates of a projectile as a function of time (t) are given as 24t and 43.6t − 4.9t², respectively, then the angle...
- A gun mounted on the ground fires bullets in all directions with same speed. The farthest distance the bullets could reach is 6.4...
- A cylindrical vessel of 40 cm radius is completely filled with water and its capacity is 528 dm³ (dm : decimeter). The vessel is...
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