You are riding in a boat whose speed relative to the water is6.4 m/s. The boat p

Question

You are riding in a boat whose speed relative to the water is6.4 m/s. The boat points at an angleof 25° upstream on a river flowing at 1.9 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 is26.4 m wide?
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?
°
(b) How much time is required for this trip if the river is26.4 m wide?
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=1.9/6.4=>=17.27degree with the vertical.hence the boat should head at angle of 17.27 degree with thevertical.

(b) How much time is required for this trip if the river is26.4 m wide?
2 s
time =width/vertical component of thevelocity=26.4/8.4cos17.27=3.2913sec
(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


(a) What heading must the boat have if it is toland directly across the river from its starting point?
1°
sin=v/u=1.9/6.4=>=17.27degree with the vertical.hence the boat should head at angle of 17.27 degree with thevertical.

(b) How much time is required for this trip if the river is26.4 m wide?
2 s
time =width/vertical component of thevelocity=26.4/8.4cos17.27=3.2913sec
(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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