Question

A ball is released from a hot air balloon moving downward with a velocity of
-10.0 meters/second and a height of 1,000 meters. How long did it take the ball to reach the surface of Earth? Given: g = -9.8 meters/second2.

Answer 1

so initial velocity of ball=initial velocity of balloon =-10m/s
acceleration=-9.8m/s^2
distance=1000m

apply \[s=ut+\frac{ 1 }{ 2 }at^2\]
s=distance
u-initial velocity
a=acceleration
t=time
plug them in and u'll get a quadratic in t solve it to get t