Arny flies due east from san francisco to washington, d. c., a displacement of 5600. km. he then flies from washington to boston, a displacement of 900. km at an angle of 55. degrees east of north. what is arny's total displacement?

The total displacement is the distance AC (San francisco to Boston)

we apply the law of cosines on triangle
b²=a²+c²- 2 .a .c. cos B

(look at the image)

cos B= cos(180-55)=cos(125)= -0.57
b= sqrt((5600² + 900² +2.5600.900.0.57))=6157.56Km

W= fd
where f is an applied force and d is the distance over which it is applied. when a parachuting skydiver is at constant velocity, he is experiencing "terminal velocity", the point at which his acceleration down is canceled out by air resistance. that means that the resisting force of the air is equal to his weight, but in the opposite direction. with this, we can solve for the work done by the force.
w = fd
w = (92.0)(9.81 m/s^2) (325)
w= 2.93 x 10^5 j
the value for work in this case is positive because it is pushing up on the skydiver, who has a downward force of gravity.
therefore the answer is 2.93 x 10^5 j

Two cars collide, lock bumpers and move together after the collision.this collision is known as perfectly inelastic collision.