The Sam's height after 1 second, form the equation of pathway of Sam's dive into the swimming pool is 11 feet.
The equation of motion is the relation between the distance, velocity, acceleration and time of a moving body.
The pathway of Sam's dive into the swimming pool can be represented by the equation,
[tex]h = -16t^2 + 15t + 12[/tex]
(where t = time in seconds and h = height in feet)
The Sam's height after 1 second is,
[tex]h = -16t^2 + 15t + 12\\h = -16(1)^2 + 15(1) + 12\\h=-16+15+12\\h=11\rm\; ft[/tex]
Thus, the Sam's height after 1 second, form the equation of pathway of Sam's dive into the swimming pool is 11 feet.
Learn more about the equation of motion here;
https://brainly.com/question/13763238
#SPJ1