JEE Main2010PhysicsMotion in Two DimensionsActual
A small particle of mass m is projected at an angle with the x -axis with an initial velocity v ₀ in the x - y plane as shown in the figure. At a time t
Options
- A- mgv ₀ t ^2 j
- Bmgv ₀ t k
- C- 1 2 m g v₀ t^2 k
- D1 2 m g v₀ t^2 i
Correct answer
C. - 1 2 m g v₀ t^2 k
Step-by-step solution
aligned L & =m( r v ) L & =m [ v ₀ t i + ( v ₀ t - 1 2 g t ^2 ) j ] [ v ₀ i + ( v ₀ -g ~g ) j ] & =m v ₀ t [- 1 2 g ~g ] k & =- 1 2 m g v ₀ t ^2 k aligned