1.A man in a hot-air balloon drops an apple at a height of 150m. If the balloon is rising at 15 m/s, find the highest point reached by the apple.

Answer 1

The height is 150 + 15t - 4.9t^2

The vertex of a parabola is achieved when x = -b/2a = 15/9.8 = 1.53 seconds

so, at t=1.53 seconds, s = 161.48m