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:

$\frac{d}{dt}\left(12t-1.86t^2\right)$$=\frac{d}{dt}\left(12t\right)-\frac{d}{dt}\left(1.86t^2\right)$$=12-3.72t$

Now replace the numbers of the intervals:

1:

8.28

2:

4.56

Find the average:

$\frac{8.28+4.56}{2}=6.42\text{ m/s}$