A data collection probe is dropped from a stationary balloon, and it falls with a velocity (in m/s) given by v(t) = 9.8t, neglecting air resistance. After 10 s, a chute deploys and the probe immediately slows to a constant speed of 10 m/s, which it maintains until it enters the ocean.

a. Graph the velocity function.

b. How far does the probe fall in the first 30 s after it is released?

c. If the probe was released from an altitude of 3 km, when does it enter the ocean?