Wednesday, April 1, 2020

As 2 boats approach the marina, the velocity of boat 1?

Jade Ohno: a)The velocity of boat 1 relative to boat 2 = the velocity of boat 1 - the velocity of boat 2The velocity of boat 1 relative to boat 2 = V1 - V2split it up into x and y components (boat 1 is traveling north so V1x = 0 and V1y = 0.77):(2.1 m/s)cos(47) = 0.770 m/s - V2yV2y = -0.66 m/s north(2.1 m/s)cos(43) = 0 m/s - V2x 47 degrees east of north = 43 degrees north of eastV2x = -1.53 m/s eastV2 = Square root(V2x^2 + V2y^2)V2 = 1.67 m/sb) tan(Theta) = V2y/V2xTheta = arc tan (0.66/1.53)Theta = 23.3 degreesSince both the x and y components are negative, the boat must be moving in the third quadrant. So, it is 23.3 degrees south of west....Show more

Brock Hladik: Velocity Boats

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