Question

If a rock is thrown upward on the planet Mars with a velocity 12 m/s, its height in meterst seconds later is given by y = 12t - 1.86t2. (Round your answers to two decimal places.)(a) Find the average velocity (in m/s) over the given time intervals.() [1, 2]m/s

Answer 1

Derivate the equation:

`(d)/(dt)\left(12t-1.86t^2\right)`
`=(d)/(dt)\left(12t\right)-(d)/(dt)\left(1.86t^2\right)`
`=12-3.72t`

Now replace the numbers of the intervals:

1:

8.28

2:

4.56

Find the average:

`(8.28+4.56)/(2)=6.42\text{ m/s}`