When an object is dropped on the moon, it travels approximately 0.8t^2 meters in t seconds. suppose an astronaut drops a moon rock from a height of 2 meters. find the speed of the rock after 1 second.

1.6 meters per second.

Step-by-step explanation:

We have been given an position function and we are asked to find the speed of the rock after 1 second.

Derivative of this function will give us speed function.

Now let us find derivative when t=1,

Therefore, the speed of the rock after 1 second will be 1.6 meters per second.  

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )

can you take a photo of the screen?