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You are riding in a boat whose speed relative to the water is5.0 m/s. The boat p

ID: 1754386 • Letter: Y

Question

You are riding in a boat whose speed relative to the water is5.0 m/s. The boat points at an angleof 25° upstream on a river flowing at 0.8 m/s. (a) What heading must the boat have if it is toland directly across the river from its starting point?

(b) How much time is required for this trip if the river is25.0 m wide?
2 (a) What heading must the boat have if it is toland directly across the river from its starting point?

(b) How much time is required for this trip if the river is25.0 m wide?
2

Explanation / Answer

You are riding in a boat whose speed relativeto the water is 5.0 m/s. The boatpoints at an angle of 25° upstream on a river flowing at0.8 m/s.


(a) What heading must the boat have if it is toland directly across the river from its starting point?

sin=v/u=0.8/5=>=sin-1(.8/5±)=9.2068degree with the vertical. hence the boat should head at angle of9.2068 degree with the vertical.
(b) How much time is required for this trip if the river is 25 mwide?
2 s
time =width/vertical component of the velocity=25/5cos9.2068=5.065sec


(a) What heading must the boat have if it is toland directly across the river from its starting point?

sin=v/u=0.8/5=>=sin-1(.8/5±)=9.2068degree with the vertical. hence the boat should head at angle of9.2068 degree with the vertical.
(b) How much time is required for this trip if the river is 25 mwide?
2 s
time =width/vertical component of the velocity=25/5cos9.2068=5.065sec
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