Simulation · Physics · Class 11
Dropped or thrown: which lands first?
From the lesson Constant acceleration in a plane in Motion in a Plane. Change the values and watch what happens.
Dropped or thrown: which lands first?Physics · Class 11
The idea behind it
NCERT §3.8
- If a is constant, v = v₀ + a t and r = r₀ + v₀ t + ½ a t², as vectors.
- In components: x = x₀ + v₀ₓ t + ½ aₓ t² and y = y₀ + v₀ᵧ t + ½ aᵧ t², with vₓ = v₀ₓ + aₓ t and vᵧ = v₀ᵧ + aᵧ t.
- Motion in a plane with constant acceleration is two independent one-dimensional motions, along x and along y, sharing the same clock t.
- Example: starting at the origin with v₀ = 4.0 î m/s and a = 3.0 ĵ m/s², after 2 s the object is at 8.0 î + 6.0 ĵ m, 10 m from the start, moving at 4.0 î + 6.0 ĵ m/s (about 7.2 m/s).
- The velocity turns steadily towards the direction of a, while the component perpendicular to a never changes.