Question

1. Sandbag is dropped from rest from a hot air balloon at an altitude of 124 m. A horizontal wind is blowing, and the wind gives the sandbag a constant horizontal acceleration of 1.10m/s2. (a) Show that the path of the sandbag is a straight line. (b) How log does it take to hit the ground? (c) With what speed does it hit the ground?

Answer 1

(a) x" = 1.1
y" = -9.8
y" = -8.9 x"
dy/dt = -8.9 dx/dt
dy/dx = -8.9
since that is constant, y(x) is a line

(b) 4.9t^2 = 124
(c) speed s^2 = (dx/dt)^2 + (dy/dt)^2