Oco serves a tennis ball at vs = 50 m/s and charges the net at vc = 10 m/s. the opponent, x = 25 m away on the other side of the court, returns the ball with a speed half that of the serve. how close does coco get to the net (x/2 away) before she meets the return?

3.055 m

Step-by-step explanation:

In this solution we will use next notation:

=  time elapsed since oco serves the ball until it reaches its opponent.

=  time elapsed since the opponent returns the ball until it reaches oco.

d= Total distance traveled by Oco since serving the ball until  meeting the return.

We know that oco serves at vs = 50 m/s and her opponent is x=25 m away. Then, t_1 is given by

To compute t_2 observe that the return speed is 12.5 m/s and the distance that the ball will travel is . Then,

.

Therefore,

Finally, as Oco started 12.5m away from the net, when she meets the return she will be

away from the net.

idk

step-by-step explanation:

do it yourself, cause that made me do it myself today, in english!

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.