Question

A small, battery-powered, electric motorboat that can travel at a speed of 2.05 m/s in still water is operating in a river with a flow speed of 1.25 m/s. For each of the following two cases, determine the requested information for a river that is 244 m wide.

(a) Case 1: when the boat is pointed straight across the river, determine the speed  v_bl of the boat as viewed by someone on land, the distance d the boat is swept downstream before reaching the other side, and the time  t₁ it takes the boat to make the crossing.

Vbl=

d=

t1=

(b) Case 2: if the boat operator wants to land the boat straight across the river from the launch site, determine the speed  v_bl of the boat as viewed by someone on land, the angle β upstream at which the boat should be pointed, and the time  t₂ it takes the boat to make the crossing.

vbl=

B=

t2=

Answer 1