You are playing paintball with a friend who is standing 25 m away from you. You shoot at her and miss. The paintball has a horizontal velocity of 150 m
per second. Which of the following sequences describes the distances of the
ball from you (in meters) at intervals of one-tenth of a second, starting when
it swooshes by her?
O A. 15, 25, 35, 45, 55, ...
B. 150, 300, 450, 600, 750, ...
O C. 15, 30, 45, 60, 75, ...
O D. 25, 175, 325, 475, 625, ...
O E. 25, 40, 55, 70, 85, ...

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.