Final answer:
To convert 3.0 x 10^10 cm/s to ft/s, multiply by the conversion factor of 0.03281 ft/cm, resulting in a speed of approximately 9.843 x 10^8 ft/s.
Step-by-step explanation:
To convert the speed from centimeters per second (cm/s) to feet per second (ft/s), you can use the conversion factor that 1 cm = 0.03281 ft. Since we are converting speed, not acceleration, we will treat the conversion as a linear transformation.
We start with:
3.0 x 1010 cm/s
Then, we use the conversion factor:
3.0 x 1010 cm/s x 0.03281 ft/cm
Multiplying these together gives us the speed in feet per second:
3.0 x 1010 x 0.03281 ft/s = 9.843 x 108 ft/s