9. [3.5/7 Points] DETAILS PREVIOUS ANSWERS Two vectors are described by their at and 3! components: A = 5.03 i -9.97 j = (5.03, 9.97) in bracket notation and B = -6.29 i + 4.21j = (-6.29, 4.21) What is the vector that results when these vectors are added? A+B=-1.26 IV 1' 'X 1. 10. [8/15 Points] DETAILS PREVIOUS ANSWERS The x component of a displacement vector 1' is 139 m, while its y component is 190 m. (a) Find the magnitude of 1:". Ex Your response is off by a multiple of ten. Review how to nd the magnitude of a vector given its components (recall right triangles). [1}] Find the direction of 1?. 126.19 a; counterclockwise from the +xaxis [Angie between 0 and 360.} 3. [4.5/12 Points] DETAILS PREVIOUS ANSWERS MY NOTES A river flows due north with a speed of 3.00 m/s. A man rows a boat across the river; his velocity relative to the water is 4.40 m/'s due east. The river is 1213 m wide. Hint: Draw a diagram to understand the question. Typically we would draw the velocity of the river as a vertical vector and the velocity of the boat as a horizontal vector. To make it easier to see the 'resultant' vector, which is the sum of the two vectors, draw the second vector starting at the arrow end of the first vector. Then, a third vector from the beginning of the first, to the end of the second is the sum of the two velocities and forms a right triangle in this case. a) What is his speed relative to the earth? 5.325 m/s b) At what angle does he travel relative to the eastern direction? X Your response differs from the correct answer by more than 10%. Double check your calculations.* northeast c) How much time is required to cross the river? 275.68 S d) How far north of his starting point will he reach the opposite bank? 827.14 m5. [0/7 Points] DETAILS PREVIOUS ANSWERS MY NOTES OPE JO A.E An airplane is flying in a jet stream that is blowing at 45.0 m/s ,VA , in a direction 190 south of east. The airplane's direction of motion relative to the earth ,Upp , is 45.0' south of west, while its direction of UP.E travel relative to the air , V p , is 120 south of west. Hint : This is one of the few questions where the 'Law of Sines' can make the solution simplier. UP.A (a) What is the airplane's speed relative to the air mass , | Vp| , in meters per second? X Your response differs from the correct answer by more than 10%. Double check your calculations. m/s (b) What is the airplane's speed relative to the Earth , | V pp| , in meters per second? X Your response differs from the correct answer by more than 10%. Double check your calculations. m/s