You are riding in a boat whose speed relative to the water is5.1 m/s. The boat p

Question

You are riding in a boat whose speed relative to the water is5.1 m/s. The boat points at an angleof 25° upstream on a river flowing at 1.7 m/s. (a) What heading must the boat have if it is toland directly across the river from its starting point?
1°
(b) How much time is required for this trip if the river is24.7 m wide?
2 s
(c) Suppose the speed of the boat is decreased but it is still desired to land directlyacross from the starting point. Should the boat's heading be moreupstream, more downstream, or the same direction as in part(a)? (a) What heading must the boat have if it is toland directly across the river from its starting point?
1°
(b) How much time is required for this trip if the river is24.7 m wide?
2 s
(c) Suppose the speed of the boat is decreased but it is still desired to land directlyacross from the starting point. Should the boat's heading be moreupstream, more downstream, or the same direction as in part(a)?

Explanation / Answer

(a) What heading must the boat have if it is toland directly across the river from its starting point?
1°
sin=v/u=1.7/5.1=>=sin-1(1/3)=19.47degreewith the vertical. hence the boat should head at angle of 19.47degree with the vertical.
(b) How much time is required for this trip if the river is24.7 m wide?
2 s
time =width/vertical component of thevelocity=24.7/5.1cos19.47=5.1372sec
(c) Suppose the speed of the boat is decreased but it is still desired to land directlyacross from the starting point. Should the boat's heading be moreupstream, more downstream, or the same direction as in part(a)?

more upstream

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