The equations for free fall at the surfaces of Venus and Jupiter ([math] in meters, [math] in seconds) are [math] on Venus and [math] on Jupiter.

(a) How long does it take a rock falling from rest to reach a velocity of [math] (about [math]) on each planet?
On Venus: seconds
On Jupiter: seconds

(b) Using derivatives, what is the acceleration due to gravity on each planet?
On Venus: [math]
On Jupiter: [math]