Answer:
see explanation
Step-by-step explanation:
Given
s(t) = 10t²
To find s(2) and s(5) substitute t = 2 and t = 5 into f(t)
(a)
s(2) = 10 × 2² = 10 × 4 = 40
s(5) = 10 × 5² = 10 × 25 = 250
(b)
s(5) - s(2) = 250 - 40 = 210
This represents the distance travelled in 3 hours
(c)
The average rate of change is measured as
[tex]\frac{s(5)-s(2)}{5-2}[/tex]
= [tex]\frac{250-40}{3}[/tex]
= [tex]\frac{210}{3}[/tex]
= 70 miles per hour
