Answer:
see explanation
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
![(s(5)-s(2))/(5-2)](https://img.qammunity.org/2020/formulas/mathematics/high-school/y4f0i5bf7yf7d5jk14ivrtuycq3a4pgchp.png)
=
![(250-40)/(3)](https://img.qammunity.org/2020/formulas/mathematics/high-school/ayhklyiidy3o9zkycxva9681ag3ae2sz9p.png)
=
![(210)/(3)](https://img.qammunity.org/2020/formulas/mathematics/high-school/6fq45zrkckikttrsqjua4ybts2p7e3jiu2.png)
= 70 miles per hour