Given: A: A = 19.3 0A = 29.1° B: B₂=35.7, By = -48.6 (a) Calculate the x-components and y-components of A. A₂ = Ay = (b) Calculate the length and direction of B. Assume angles are measured from the +x-axis with counter-clockwise as positive angles and clockwise as negative angles. AB= 0B = (c) Calculate the components of the vector sum of A + B = C: C₂ = Cy (d) Calculate the length and direction of C: Assume angles are measured from the +x-axis with counter-clockwise as positive angles and clockwise as negative angles. C 0c= 0

An object is dropped from a height of 22 meters. Ignoring air resistance, how long until the object hits the ground? What is the object's final velocity right before impact? GV. Ax=-22m a 9 = -9.8 m/s² V₁ = 0 m/s V₁= want t = want 0 x=bato Vf=at V/₂ =² (vy - v₁) 1 x=v₁t+=at² X= t Vf = V₁ + at v² = v² + 2ax 2

QUESTION 1 The vector V has a magnitude of 199.51 km and makes an angle of 78.88 degrees with the x-axis. Find the x component. Round answer to 4 significant digits and enter the unit.

PLEASE HELP ASAP. PHYSICS ALGEBRA With exact decimals!

A spelunker is surveying a cave. She follows a passage 160 m straight west, then 230 m in a direction 45 degree east of south, and then 280 mm at 30 degree east of north. After a fourth unmeasured displacement, she finds herself back where she started. Part a)Use a scale drawing to determine the magnitude of the fourth displacement. Express your answer using two significant figures. Part B)Determine the direction of the fourth displacement. Express your answer using two significant figures

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A Texas rancher wants to fence off his four-sided plot of flat land. He measures the first three sides, shown as A, B, and C in the figure below, where A = 4.20 km and 0 10c = 19⁰. 0 + D = ? km D = y + A + B + C + D = 0 C e= ? 7.5⁰ A = 4.20 km C = 3.02 km 19⁰ A X km X ° west of south B 16° W ZA N He then correctly calculates the length in kilometers and orientation in degrees west of south of the fourth side D. What is his result in kilometers and degrees west of south? D = S X B = 2.48 km E

Two vectors A and B are shown in the figure. Vector A has a magnitude of r = 24.5 and an angle of 0A = 25.9°. Vector B has a magnitude of rB = 44.5 and an angle of 0B = 61.5°. The figure is not to scale. Express each vector in the figure using ijk unit vector notation, A = Axi + Ayj B = B₂i + B₂j where Ax, Ay, Bx, and By are the calculated values of the x- and y-components of vectors A and B, respectively. A = B = B TB OB TA 0

Given: A: A = -16.7, A, = 37 B: Br= -0.4, By = -23.8 (a) Calculate the length and direction of A. Assume angles are measured from the +x-axis with counter-clockwise as positive angles and clockwise as negative angles. A = 0 A = (b) Calculate the length and direction of B. Assume angles are measured from the +x-axis with counter-clockwise as positive angles and clockwise as negative angles. B = OB (c) Calculate the components of the vector sum of A + B = C: CT= F Cy= (d) Calculate the length and direction of C: Assume angles are measured from the +x-axis with counter-clockwise as positive angles and clockwise as negative angles. C= Oc 0 = 0

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