The water in a river flows uniformly at a constant speed of 2.27 m/s between parallel banks 69.3 m apart. you are to deliver a package directly across the river, but you can swim only at 1.58 m/s. (a) if you choose to minimize the time you spend in the water, in what direction should you head? ° from the direction of the stream (b) how far downstream will you be carried? m (c) if you choose to minimize the distance downstream that the river carries you, in what direction should you head? ° from the direction of the stream (d) how far downstream will you be carried?

Got it!

Explanation: The water in a river flows uniformly at a constant speed of 2.50m/s between two parallel banks 80.0m apart. You are to deliver a package directly across the river, but you can only swim at 1.5m/s.

initial speed when it is dropped is 150 ft/s

now at the same moment the acceleration due to gravity is perpendicular to its velocity

so as we know that

now we have centripetal acceleration a = 32 ft/s^2 as its perpendicular to velocity

while tangential acceleration at the same moment will be zero

so

now radius of curvature is given as

so the radius of curvature just after it is dropped is 703.125 ft