Phileas is going on a hot air balloon ride. His height above the ground after t minutes is a quadratic function of t. He begins from a platform at a height of 76 meters. The balloon reaches its maximum height after 30 minutes. After 80 minutes, he finally lands (at a height of 0 meters).

COMPLETE QUESTION:

Phileas is going on a hot air balloon ride. His height above the ground

after t minutes is a quadratic function of t.

He begins from a platform at a height of 76 meters.

The balloon reaches its maximum height after 30 minutes.

After 80 minutes, he finally lands (at a height of 0 meters)

(a) Give a function f(t) for Phileas’s height above the ground after t minutes.

f(t) = (-76/160)t² + (9560/1600)t + 76

Explanation:

Clearly explained in the attachment below

force is mass*acceleration.

we have a very small mass: 11.4*0.001 kg

if we want 0.035n of force, we need an acceleration:

0.035 = 11.4*0.001*a

a = 0.035/(11.4*0.001) m/s^2