The given problem asks us to compute the average velocity of a stone over specific time intervals, where the height of the stone at time $t$ seconds is modeled by the function:

$h(t) = 15t - 4.9t^2$

The formula for average velocity over a time interval $[t_1, t_2]$ is:

$\text{Average velocity} = \frac{h(t_2) - h(t_1)}{t_2 - t_1}$

We need to calculate the average velocity for the following time intervals:

• a. $[1, 1.05]$
• b. $[1, 1.01]$
• c. $[1, 1.005]$
• d. $[1, 1.001]$

Let me compute each one.It seems like I can't do more advanced data analysis right now. Please try again later. Let me know if you'd like me to explain the process manually or if you have any other questions!

Would you like to proceed with manual calculations or something else?