The unit meter per second per second (m/s²) would be used to measure
a) acceleration
b) rate of change
c) speed
d) velocity

Explanation:

m/s is the unit for speed, so (m/s)/s is the rate of change of speed.  

The rate of change of speed is acceleration.

B), C), and D) are wrong. They all have the units of m/s.

geosphere and hydrosphere.

this is because the geosphere has to do with geological events, while the hydrosphere controls all water on earth.