You and your bike collide at \(12 \mathrm{~m} / \mathrm{s}\) into the back of a car stopped at a red light. The car does not have its brakes applied and so is jolted forward. The driver immediately leaps out crying, "Whiplash!" Facing a day in court, you have to determine the acceleration of the car as a result of the collision. You note that you and your bike (combined inertia \(80 \mathrm{~kg}\) ) came to a complete halt in the collision and that the rim of your front wheel was pushed all the way to the center hub-the same distance the car traveled during the crash. The diameter of the bike wheel before the crash was \(0.75 \mathrm{~m}\), and the car's inertia is \(1800 \mathrm{~kg}\).