Answer:
cos(2sin−1x)=1−2x2
Step-by-step explanation:
et sin−1x=θ , so that, x=sinθ,|x|≤1,θ∈[−π2,π2].
To solve this we are going to use the kinematic equation for final velocity:

where

is the final velocity

is the initial velocity

is the acceleration

is the time
We know for our problem that the the velocity at the beginning of the slope is

, so

. We also know that the speed ad the bottom of the slope is

, so

. We also know that the acceleration is

, so

. Lets replace those values in our formula and solve for

:





seconds
We can conclude that it takes the roller coaster
3 seconds to reach the bottom of the slope.
Answer:
Center of rotation
Step-by-step explanation:
Answer:
Each team played 22 games.
Step-by-step explanation:
There are 12 teams in the league, so each team has 11 rival teams. Since each team will play against a rival team twice, that means that each team will need to play 11 x 2 = 22 games per season. Of these 22 games, 11 games will be played at home while 11 games will be played away from home.
We can calculate this by using the following formula:
Total number of games played by each team = (n - 1) x 2, where n is the total number of teams in a league.