A newly designed car has a $18\mathrm{.}0-$ft wheelbase, is rear$-$wheel drive, and has a center of gravity $20$ inches above the road and $6$ ft behind the front axle. The car weighs $2000$ lb $,$ the mechanical efficiency of the drivetrain is $88\%,$ and the wheel radius is $14$ inches. Two engines are being considered: a base engine that develops $300ft-lb$ of torque and a modified engine that develops $450ft-lb$ of torque. If the overall gear reduction ratio of $4$ to $1,$ what is the maximum acceleration of the car from rest for both engines on a good, dry and level?