A particle moves along the x-axis so that its velocity in feet per second at time x, in seconds, is modeled by the quadratic function y = 2x2 − 10x + 12. What does the number 12 represent for the quadratic function?
The particle is 12 feet above the x-axis initially.For this case we have the following equation:
[tex] y = 2x ^ 2 - 10x + 12
[/tex]
Where, we have the following variables:
x: time in seconds
y: speed in feet per seconds
For the initial velocity, we evaluate x = 0 in the given equation:
[tex] y = 2 (0) ^ 2 - 10 (0) + 12
y = 12
[/tex]
Therefore, the initial speed is 12 feet per second.
Answer:
The particle's initially velocity is 12.
