(Solved): help general speed limit on Jean Baptiste Point DuSable Lake Shore Drive, shown in this image, is 4 ...

general speed limit on Jean Baptiste Point DuSable Lake Shore Drive, shown in this image, is 40 mph. As you travel south on the drive, you must enter the curve south of Oak Street Beach (at Point B) with a velocity of $$25\mathrm{mph}$$. Suppose a car enters the curvilinear path $$S$$ at point A with a speed of $$40\mathrm{mph}$$. The vehicle will travel along path $$S$$ for a distance of $$375\mathrm{ft}$$ to reach point B with a speed of $$25\mathrm{mph}$$. You can approximate the radial distance from point $$O$$ to the vehicle as a constant $$r=400\mathrm{ft}$$. The angular position is described by the function $$?=[$$ constant $$\times t^2]\mathrm{rad}$$, where $$t$$ is in minutes. (i) Solve for the unknown constant in $$?$$. (ii) What is the acceleration vector at point B? Hint: 1 mile $$=5280\mathrm{ft}$$