7) Now consider the same situation (the speed of the car and the radius of the circle are the same) but we are considering two points separated by 60 degrees. What was the magnitude of the average acceleration of the car between these two points? m/s2 Submit
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- An engineer designs a roller coaster so that a car travels horizontally for 172 ft, then climbs 117 ft at an angle of 32.0° above the horizontal. It then moves 117 ft at an angle of 41.0° 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-axisAn 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.One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which is 2.89km. They start at the west side of the lake and head due south to begin with. What is the distance they travel? What is the magnitude of the couple’s displacement? What is the direction (relative to due east) of the couple’s displacement?
- Show, using graphical vector addition, that the acceleration vector for an object in uniform circular motion points toward the center of the circular path. Use the factthat acceleration in two or more dimensions is defined asA car initially traveling eastward turns north by traveling in a circular path at uniform speed as shown in above figure. The length of the arc ABC is 235m, and the car completes the turn in 36.0s. (a) What is the acceleration when the car is at B located at an angle of 35.08? Express your answer in terms of the unit vectors i^ and j . Determine (b) the cars average speed and (c) its average acceleration during the 36.0s interval.A woman rides a carnival Ferris wheel at radius 15 m, completing five turns about its horizontal axis every minute.What are (a) the period of the motion, the (b) magnitude and (c) direction of her centripetal acceleration at the highest point, and the (d) magnitude and (e) direction of her centripetal acceleration at the lowest point?
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- Gandalf the Grey started in the Forest of Mirkwood at a point with coordinates (0,1)and arrived in the Iron Hills at the point with coordinates (1,6). If he began walking in the direction of the vector v=4i+2j and changes direction only once, when he turns at a right angle, what are the coordinates of the point where he makes the turn correctly.t path A in the figure. A city block is asquare of l = 105 m on each side. What is the total distance traveled on path A in meters? What is the magnitude of the displacement in meters? What is the angle of displacement, in degrees, measured east of north?A golfer takes three strokes to putt a golf ball into a hole. On the first stroke, the ball moves 5.9 m due east. On the second, it moves 1.8 m at an angle 20° north of east. On the third, it moves 0.50 m due north. If the golfer had instead hit the ball directly into the hole on the first stroke, what would have been the magnitude and direction of the ball's displacement? Give the direction as a positive angle measured counterclockwise from due east. magnitude m direction °