Answer:
[tex]51.4\ \text{m/s}[/tex]
[tex]52.84\ \text{m/s}[/tex]
[tex]52.984\ \text{m/s}[/tex]
Step-by-step explanation:
The function of displacement is
[tex]y=85t-16t^2[/tex]
[tex]\text{Average velocity}=\dfrac{\text{Total displacement}}{\text{Time elapsed}}[/tex]
Lasting 0.1 s
[tex]v_1=\dfrac{y(1.1)-y(1)}{1.1-1}\\\Rightarrow v_1=\dfrac{85\times 1.1-16\times 1.1^2-(85-16)}{0.1}\\\Rightarrow v_1=51.4\ \text{m/s}[/tex]
The average velocity is [tex]51.4\ \text{m/s}[/tex]
Lasting 0.01 s
[tex]v_2=\dfrac{y(1.01)-y(1)}{1.01-1}\\\Rightarrow v_2=\dfrac{85\times 1.01-16\times 1.01^2-(85-16)}{0.01}\\\Rightarrow v_2=52.84\ \text{m/s}[/tex]
The average velocity is [tex]52.84\ \text{m/s}[/tex]
Lasting 0.001 s
[tex]v_3=\dfrac{y(1.001)-y(1)}{1.001-1}\\\Rightarrow v_3=\dfrac{85\times 1.001-16\times 1.001^2-(85-16)}{0.001}\\\Rightarrow v_3=52.984\ \text{m/s}[/tex]
The average velocity is [tex]52.984\ \text{m/s}[/tex]
