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As two boats approach the marina, the velocity of boat 1
Chapter 3, Problem 78GP(choose chapter or problem)
As two boats approach the marina, the velocity of boat 1 relative to boat 2 is 2.15 m/s in a direction 47.0° east of north. If boat 1 has a velocity that is 0.775 m/s due north, what is the velocity (magnitude and direction) of boat 2?
Questions & Answers
QUESTION:
As two boats approach the marina, the velocity of boat 1 relative to boat 2 is 2.15 m/s in a direction 47.0° east of north. If boat 1 has a velocity that is 0.775 m/s due north, what is the velocity (magnitude and direction) of boat 2?
ANSWER:Solution 78GP Step 1 of 3 We have to find the velocity (magnitude and direction) of boat 2 relative to the ground. The velocity (magnitude and direction) of boat 2 can be found using the expression, v 2g= v 2 + v2 2g, x 2g , y Where, v 2g, xnd v 2g, yre the xand y components of the velocity of boat 2 relative to the ground in m/s Now, v 1g v 12 2g Where, v is the the velocity of boat 1 relative to boat 2 12 = 2.15 m/s v is the velocity of boat 2 relative to the ground in m/s 2g v 1gs the velocity of boat 1 relative to the ground = 0.775 m/s Hence, v 2g 1g v 12 v 2g (0.775) y ˆ [(2.15)sin 47 x ˆ + (2.15)cos47 y]ˆ = ( 1.57) x+( 0.691) y ˆ