To determine the k for the second condition, we use the Arrhenius equation which relates the rates of reaction at different temperatures. We do as follows:
ln k1/k2 = E / R (1/T2 - 1/T1) where E is the activation energy and R universal gas constant.
The balloon has traveled 30 meters up from the bicyclist and since it's rising 5 meters per second, 2 seconds later it will travel 10 meters higher. 2 seconds later the bicyclist will travel 20 meters away. so 10+20+30= 60 meters away from each other.
Standards help avoid confusion and ambiguity when taking measurements. For example, a meter will always be the same length, no matter who is taking the measurement or where it is being taken.
