Plzzz help!! I am giving away 50 points for this question! No links no scamming.. otherwise you will be reported!! If a truck starts at rest and speeds up under maximum power, its speed after a fixed length of time is inversely proportional to its total weight. Suppose that for a particular truck weighing 3000 pounds empty, the speed is 40 mph after 20 sec.

a. Find the constant of variation:

b. Write the equation expressing speed in terms of weight:

c. The truck is loaded with 5000 pounds of cargo, making the total weight 8000. What will its speed be after 20 seconds under maximum power?

d. When it is particularly loaded, the truck's speed is 32 mph after 20 seconds at maximum power. Find the number of pounds of cargo.