A soccer ball is kicked horizontally off a 115 m high cliff and lands at a distance of 90.0 m from the edge of the cliff. determine the initial horizontal velocity of the soccer ball.

and

Step-by-step explanation:

Let us assume that the coordinates of a and c are respectively and  , and the coordinates of point b are  .

So, we have to express the coordinates of b in terms of the coordinates of a and c provided the ratio of segment ab to bc is 3 : 1.

Now, we know, the formula of coordinate geometry that if there are two known points P   and Q   and the point R divides PQ line segment in m : n ratio internally, then the coordinates of R will be given by .

Therefore, using this formula we can write  

and  

(Answer)