A) If you start at Cincinnati and cross the river pointing your kayak perpendicu

Question

A) If you start at Cincinnati and cross the river pointing your kayak perpendicularly to the Ohio River  how long does it take you to cross the river?

B) How far down the river is your Kayak after crossing?

C) If you now paddle the kayak up river to Covington (directly across from where you started originally), how long will it take you?

D) If you now paddle directly back across the river (back to Cincinnati), what angle (relative to the direct path across the river - the so-called crab angle) should you point the kayak to make it directly across?

Explanation / Answer

a) velocity = 2.5m/s

distance = 800m

as the velocity of river does not disturb perpendicular movement,

time taken to cross = 800/2.5 = 320 secs

b)distance = velocity of river * time taken = 0.9*320 = 288m west the river

c) it will take the same time, as velocity of river is in perpendicular direction

d) angle = tan inverse (0.9/2.5) = 19.8 degrees to the perpendicular of rice, = 70.2 degrees to the horizontal

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