The stopping distance for a car traveling $25mph$ is $69\mathrm{.}3$ feet, and for a car traveling $40mph$ it is $115$ feet. The stopping distance in feet can be described by the equation $y=a{x}^2+bx,$ where $x$ is the speed in $mph.$

$($a$)$ Find the values of a and $b,$

$($b$)$ Use the answers from part $($a$)$ to find the stopping distance for a car traveling $60mph.$

$($a$)$ Write the augmented matrix that will be used to find the values of a and $b.$

$(\backslash$left$[$

$\backslash$table$[[|$l$|\backslash$right$.),69\mathrm{.}3,],[,40,]]$