Please explain each response to each prompt using physics terms/ideas/formulas/proofs. I would like to check my own work. Please NO REPOSTS of other work.

Towing uphill. You rent a truck to move all of your possessions to another state. You also decide to take your car with you by towing it behind the truck. The instructions you get with the truck tell you that the towing hitch has a maximum strength of 1000 lb. Just before you leave, you weigh the fully loaded truck and nd it to be 15,000 lb. At the same time you weigh your car and nd it to weigh 3000 lb. You begin to worry if the hitch is strong enough. You know that air resistance will increase as the car goes faster, but you estimate that the sum of the forces due to air resistance and friction on the car is not. more than 300 lb. Remember to show your work symbolically and to give your nal answers in SI units. (a) How fast can you accelerate without breaking the hitch? (b) How fast can you drive up a 51 grade? (c) \"That is the steepest hill you can drive up