Answer:
Average Rate of change of d(t) is 11.43
Step-by-step explanation:
Given:
d(t) = 4.9 t²
where d(t) gives distance covered by coin in time t.
To find: The Average Rate of change of d(t) from t = 3 to t = 6.
We know that Average rate of change, A of f(x) = [tex]\frac{f(a)-f(b)}{a-b}[/tex]
here, a= 6 and b = 3
So, Average rate of change = [tex]\frac{d(6)-d(3)}{6-3}[/tex]
= [tex]\frac{4.9(6)^2-4.9(3)^2}{3}[/tex]
= [tex]\frac{4.9\times16-4.9\times9}{3}[/tex]
= [tex]\frac{78.4-44.1}{3}[/tex]
= [tex]\frac{34.3}{3}[/tex]
= [tex]11.43[/tex]
Therefore, Average Rate of change of d(t) is 11.43
