0
Closed
Dropping water balloons on a bully
A child wishes to drop a .45 kg water balloon from his window onto a bully who is walking by on the sidewalk below. The bully is 3.0 m away from a point directly below the window and walking with a constant speed of 1.5 m/s towards the point. The window is 25 m high and the bully is 1.2 m tall. How fast should the kid throw the balloon to hit the bully on the head right as he passes under the window?
Customer support service by UserEcho
For this problem, you need the kinematics equation for falling objects (x = (at^2)/2 + v_i*t + x_i). Also, you need the time (t) it will take for the bully to be under the window. Therefore, you just need to find t in v_bully = d/t (d = distance of the bully from under the window and v_bully = bully's constant speed). Then solve for v_i in the kinematics equations.
Keep in mind that x_i, a, and x are the initial height, acceleration of gravity (a<0), and height which you want to hit the bully at.