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- An engineer designs a roller coaster so that a car travels horizontally for 172 ft, then climbs 147 ft at an angle of 32.0° above the horizontal. It then moves 147 ft at an angle of 48.0° below the horizontal. If we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (Give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.) Sig figs Considered.An engineer designs a roller coaster so that a car travels horizontally for 172 ft, then climbs 147 ft at an angle of 32.0° above the horizontal. It then moves 147 ft at an angle of 48.0° below the horizontal. If we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (Give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.) magnitude 396.267 ft direction 355.463 ° counterclockwise from the +x-axisAn engineer designs a roller coaster so that a car travels horizontally for 202 ft, then climbs 137 ft at an angle of 31.0° above the horizontal. It then moves 137 ft at an angle of 40.0° below the horizontal. If we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (Give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.) magnitude 430 The magnitude of the displacement is the length of the vector which goes from the starting point to the ending point. You will need to measure this distance, and multiply by your scale factor. ft direction .035 Measure the angle from the +x-axis to the resultant vector (drawn from the starting point to the ending point). Remember that angles measured counterclockwise from the +x-axis are negative.° counterclockwise from the +x-axis
- An engineer designs a roller coaster so that a car travels horizontally for 182 ft, then climbs 117 ft at an angle of 33.0° above the horizontal. It then moves 117 ft at an angle of 44.0° below the horizontal. If we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (Give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.) magnitude ft direction ° counterclockwise from the +x-axis Need Help? Read ItAn engineer designs a roller coaster so that a car travels horizontally for 182 ft, then climbs 117 ft at an angle of 32.0° above the horizontal. It then moves 117 ft at an angle of 48.0° below the horizontal. If we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (Give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.) Magnitude = ? Direction = 356.5 degrees counterclockwise from the + x-axisAn engineer designs a roller coaster so that a car travels horizontally for 192 ft, then climbs 147 ft at an angle of 33.00 above the horizontal. It then moves 147 ft at an angle of 42.0° below the horizontal. If we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (Give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.) magnitude The magnitude of the displacement is the length of the vector which goes from the starting point to the ending point. You will need to measure this distance, and multiply by your scale factor. ft direction ° counterclockwise from the +x-axis
- Can you provide solutions and explanations for this problem? and provide a graph or illustration as well? A Ferris wheel is elevated 1 m above ground. When a car reaches the highest point on the Ferris wheel, its altitude from ground level is 31 m. How far away from the center, horizontally, is the car when it is at an altitude of 25 m?A soccer ball is kicked horizontally at v0 = 13 m/s from a hill. The hill forms an angle \theta = 23 slope above horizontal. PART A: When the ball hits the ground, what is the relation between y and x? Express your answer using the given variable \theta. Do not plug in number yet, answer this part symbolically. PART B: Solve symbollically the time it takes for the ball to hit the ground. Express your answer using v0, \ theta, and g as needed.V Ꮎ VO 0Which of the following quantities are vectors, and which are scalars? Be sure to explain the reasoning for your answer.(a) A bird flies a distance of 20 m.(b) A train is travelling at 100 km/h due north.(c) It takes an athlete 10.37 s to run 100 m.
- Suppose you first walk 12.5 m in a direction 20° west of north and then 25.5 m in a direction 40° south of west as shown in the figure. What is the component of your displacement in the y-direction, in meters? What is the angle of a line connecting your starting position to your final position, measured South of West, in degrees?Algebraic relation. A toy rocket leaves the horizontal ground and reaches a maximum height of h. The rocket then returns back to the ground a distance d Bh from the launch point. If 3 = 2.17, determine the launch angle with respect to the horizontal. Notice that you should not calculate the launch angle in degrees. Instead, you should supply the correct numerical argument for the inverse tangent function. 1 0 = tan ¹ ( Record your numerical answer below, assuming three significant figures.L83. While following a treasure map, you start at an old oak tree. You first walk 825 m directly south, then turn and walk 1.25 km at 30.0° west of north, and finally walk 1.00 km at 40.0° north of cast, where you find the treasure: a biography of Isaac Newton! (a) To retum to the old oak trec, in what direction should you head and how far will you walk? Use components to solve this problem.