Question: A motorboat of mass m is acted on by a resisting force R which varies directly with the square of the velocity : R kv^2 . Suppose the pore is cut off when the motorboat has a velocity v. (a) find the expression for the acceleration of the motorboat, dv/dt , in term of m,k,and v. (b) Is the acceleration constant ? What is Initial acceleration ? (D) find by integration the velocity at any time t. (E) if the initial velocity v is 30 ft/s, and if the velocity decrease to 20 ft/s , find the resisting force R at a velocity of 30 ft/s. the mass m of the motorboat is 100 slugs.