by the function ( h(t)=300 - 16t^{2} ). which expression could be used to determine the average rate at…

by the function ( h(t)=300 - 16t^{2} ). which expression could be used to determine the average rate at which the object falls during the first 3 seconds of its fall?\n( h(3)-h(0) )\n( \frac{h(3)-h(0)}{3} )\n( \frac{h(3)}{3} )\n( \frac{h(3)-h(0)}{3} )
Answer
Explanation:
Step1: Recall the formula for average rate of change
The average rate of change of a function (y = f(x)) over the interval ([a,b]) is given by (\frac{f(b)-f(a)}{b - a}).
Step2: Identify (a), (b) and the function
Here, the function is (h(t)=300 - 16t^{2}), (a = 0), (b=3).
Step3: Substitute into the formula
Substituting into the average - rate - of - change formula (\frac{h(3)-h(0)}{3-0}=\frac{h(3)-h(0)}{3})
Answer:
(\frac{h(3)-h(0)}{3})