Answer:
The balloon falls to the ground before the professor gets there. The student is DEFINITELY in for some TROUBLE!
Explanation:
The balloon picks up speed due to gravity and we can calculate the time taken for it to fall to the ground as follows:
Gravity (g) = 9.81 m/s^2
Height or distance (s) = 11 meters
Initial Speed (u) = 0 m/s
[tex]s = u*t + 0.5 * (a*t^2)[/tex]
[tex]11 = 0*t + 0.5 (9.81*t^2)[/tex]
[tex]t= 1.4975 s[/tex]
So we can see that the balloon takes 1.4975 seconds to fall to the ground, and since the professor takes 2 seconds to get to that place, the balloon hits the ground right before the professor gets there.