Question

A drone is monitoring the atmospheric conditions above a farm field.

Answer 1

Answer:

$y=5 \ \ \ x x_o + 1.9s$

Step-by-step explanation:

This situation can be considered as a piecewise function. First, you take xo as the time in which the drone goes upward. Before this time the height of the drone is constant with a value of 5 m. Next, you take into account that during 1.9 s after xo the drone accelerates. Finally, the drone flies again with a constant height of 5.9m. Hence, this function has three parts:

For the first part you have:

y = 5       for x <  xo

For the second part you first calculate vertical speed (which means the slope of the linear function) by using the following kinematic equation:

$y=vx\\\\v=\frac{y-y_o}{x}=\frac{5.9m-5.0m}{1.9s}=0.47m/s$

Then you have:

y = 0.47x    for xo < x < xo + 1.9s

And for the third part:

y = 5.9    for x > xo  + 1.9s

Summarizing you obtain:

$y=5 \ \ \ x x_o + 1.9s$