The path of the ball is an illustration of absolute equation.
The equation of the path is:
The given parameters are:
--- the vertex (i.e. the point where the ball hits the wall)
An absolute function is represented as:
Substitute
Substitute for x and y
Remove absolute bracket
Collect like terms
Solve for a
Simplify
Substitute in
Hence, the equation of the path is:
See attachment for graph that models the path
Read more about absolute equations at:
Answer:
8
Step-by-step explanation:
0) the basic formula is: L=v*t, where L - distance, v - speed/velocity; t - time;
1) if the person's speed in still water is 'v' and the speed of water is 5 (according to the condition), then the upstream speed is 'v-5' and the downstream speed is 'v+5';
2) according to the condition the upstream time and the downstream time are the same, it means t₁=t₂=t, where t₁=upstream time and t₂=downstream time;
3) according to the items above it is possible to make up the equation of the upstream travel: t(v-5)=3; ⇒ t=3/(v-5);
4) according to the items above it is possible to make up the equation of the downstream travel: t(v+5)=13; ⇒ t=13/(v+5);
5) if t=3/(v-5) and t=13/(v+5), then