3. a. (4 pts.) A motorboat\'s bow is pointed due south, and its motor gives the

Question

3. a. (4 pts.) A motorboat's bow is pointed due south, and its motor gives the bout a constant speed of 5.50 m's through still water. However, the water has a current flowing due east at a speed of 3.00 m/s. Find the magnitude and direction of the boat's total velocity (relative to stationary objects along the shore). Show your wovk. Inctwde a sketch of the nwo velocity vectors and their am 35.S 3.00m/s 3.00/ 29861 b. (3 pts) If the boat and water current maintain these same velocities for 60.0 seconds, find the magnitude and direction of the boat's displacement. Show your work completely displocement: time (velocily 3.oU Gos (5.s0t 3.00) 3300+ 120 (30)+ )(10%,900)(32400) 375, 90m BONUS: (+2 pts.) Suppose that the boat captain is traveling through the same flowing water, but wants to have the boat's total velocity be directed due south. (The boat's motor-speed through stationary water is still 5.S0 m's, and the water's current is still 3.00 m/s due east.) 0. At what direction should the captain aim the bow of the boat? (Specify the exact angle for your final direction not just "southwest.") You do NOT need to show your work. direction = boat's total velocity in this case? You do NOT need to show your work. (ii). What will be the magnitude of the Include units on your answer! total velocity =

Explanation / Answer

The idea and procedure are right but the calculations are not. The speed of boat with respect to stationary objects on shore is V = (32 + 5.52 )0.5 = 6.265 m/sec .

The direction is correct and the distance travelled will be S = V x t = (6.265) x (60) = 375.9 , this is also correct answer.

For the bonus part , the boat's direction should be such that it's component in west direction should be 3 m/sec, so that the net velocity component only remains northward.

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