Kite Trajectory vs Building (Projectile Motion with Constant Horizontal Wind)
Problem
A kite of mass 50 g is flying at a height of 300 m when its string is cut. The wind blows horizontally toward a building at a constant speed of 60 km/h. At the moment the string is cut, the kite has: height: 300 m horizontal distance to a 12-storey building: 20 m height of each storey: 1.5 m Assume: the wind gives the kite a constant horizontal speed of 60 km/h, the kite initially has no vertical speed when cut, it then falls freely under gravity with š ā 9.8 m/s 2 gā9.8 m/s 2 , air resistance (other than the horizontal push of wind) is ignored. Question: Does the kite hit the building? If yes, at what height (which floor)?
Explanation
This visualization shows the kiteās 2D projectile path under gravity with a constant horizontal wind, and checks whether it collides with the building. The kite starts at height 300 m, horizontally 20 m from the building, with zero vertical velocity and a constant horizontal speed due to the wind. The building is 12 storeys high, each 1.5 m. Use the controls to adjust gravity, wind speed, and initial height to see how the trajectory changes and whether the kite hits the building and at which floor.