Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NTA Abhyas JEE Main2020PhysicsMotion in Two DimensionsPractice

A particle is projected from the ground and simultaneously a wedge starts moving towards the right, as shown in the figure. The maximum height of the wedge for which the particle will not hit the wedge is g = 10   ms - 2

Options

  1. A28 9   m
  2. B28 3   m
  3. C7 3   m
  4. D7 4   m

Correct answer

A. 28 9   m

Step-by-step solution

Initial velocities of the particle u x = 10 cos ⁡ 53 = 6 m/s u y = 10 sin ⁡ 53 = 8 m/s 6 t = 1 + t + x . 3 5 [where x is the length of the hypotenuse of the wedge] 5 t = 1 + 3 x 5 (in x - direction) 8 t - 5 t 2 = 4 . x 5 (in y - direction) x = 35 9 m Height = 35 9 × 4 5 = 28 9 m

Practice Motion in Two Dimensions on Quantrex Academy →

More from Motion in Two Dimensions

A particle is thrown with a speed v from a point O at an angle with the horizontal plane such that it passes through the point P at a height of 1 m and horizontal distance of 5 m f 2026A car moving with a speed of 54 km/h takes a turn of radius 20 m. A simple pendulum is suspended from the ceiling of the car. Determine the angle made by the string of the pendulum 2026Two identical bodies, projected with the same speed at two different angles cover the same horizontal range R . If the time of flight of these bodies are 5 s and 10 s, respectively 2026If x and y coordinates of a projectile as a function of time (t) are given as 24t and 43.6t-4.9t^2 , respectively, then the angle (in degrees) made by the projectile with horizonta 2026A gun mounted on the ground fires bullets in all directions with same speed. The farthest distance the bullets could reach is 6.4 m. The speed of the bullets from the gun is ______ 2026Two projectiles are projected with the same initial velocities at the 15^ and 30^ with respect to the horizontal. The ratio of their ranges is 1:x . The value of x is: 2026A boy throws a ball into air at 45^ from the horizontal to land it on a roof of a building of height H . If the ball attains maximum height in 2 s and lands on the building in 3 s 2026An object is projected with kinetic energy K from a point A at an angle 60^ with the horizontal. The ratio of the difference in kinetic energies at points B and C to that at point 2026 Full Motion in Two Dimensions list All NTA Abhyas JEE Main PYQs