A particle moving in the x-y plane has a position vector given by r = ²i + ³j, where r is in inches and t is in seconds. Calculate the radius of curva- %3D ture p of the path for the position of the particle when t = 2 sec. Sketch the velocity v and the cur- vature of the path for this particular instant. %3D
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- Vector ? points in the positive ? direction. Vector ? is directed at anangle of 30.0° below the positive ?? axis. Vector ? has a magnitudeof 20 m and points in a direction 30.0° below the negative ?? axis. Given that? + ? + ? = 0, find the magnitudes of ? and ?. Draw vector diagram toshow your analysis.Mr. Brown takes a walk in the park. He first travels 600. m NW and then turns and walks 800. m @ 20.0° WoS. What is his overall displacement of his walk? Use the triangle method to solve this. Should you use the component method, I will award zero points. I know the answer, I just don’t know how to get it. Answer: 771 m @ 25.1° SoW Thanks!!In a total time of 3.0 minutes, a duck on a pond paddles 31 m [N33oE] and then paddlesanother 57 m [E28oS]. Solve for the displacement graphically (with a ruler andprotractor) and then answer the questions. The scale diagram should have a scale, labeled axes, correct vector length and directions, vectorlabels, appropriate significant digits based on your measuring device and final answer withmagnitude to correct sig figs, with unit and direction. Using the displacement you determined from your graph, what was the duck’s average velocityfor the trip? What total distance did the duck travel? What was the average speed of the duck for the whole trip?
- A plane flies with the Jet Stream (tailwind) from Chicago to Rome in 9.1 hours, a flight distance of 7740 km. It returns, flying against the Jet Stream (headwind), in 10.8 hours. Calculate the average speed of the plane and the average speed of the wind. Must list assumptions, and draw 1D vector diagram!!! wr MComplete the table below: Vector 1 Vector 2 Vector 3 Vector 4 Vector 5 Vector 6 x-component 15m 2cm 5N 3lbf 2cm 3mm y-component Magnitude 100N 25m 5lbf Direction 30° W of N 40° s of E NE Solve what is asked: 1. What is the resultant of Vectors 1, 3 and 5? 2. What is the Vector 4 – Vector 2 + Vector 6? 3. If Vector 7 is 3i + 4j, then what is Vector 3 + Vector 7? 4. If Vector 7 is 3i + 4j, then what is Vector 6 - Vector 7?Problem 8: Consider two vectors A and B, expressed in unit vector notation as A= aji+ azj and B = bji+ bzj. A. Part (a) Enter an expression for the vector sum A + B in terms of quantities shown in the expressions above. A+B = B 7 8 HOME a i j k 4 5 6 a1 a2 bị 1 2 3 b2 d + END - h VO BACKSPACE CLEAR m DEL Submit Hint Feedback I give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback. Part (b) Enter an expression for the difference vector A - B in terms of quantities shown in the expressions above. Part (c) Enter an expression for the square of the magnitude of the sum vector |A + B| in terms of quantities shown in the expressions above.
- mdr.4A golfer strikes a golf ball on level ground.The ball leaves the ground with an initial velocity of 42 m/s [32oabove horizontal].a. Draw a vector diagram to describe the situation of the of golfball with initial velocity.b. Find the range (horizontal distance) of the golf ball travelled.c. Find the maximum height (vertical distance) the golf ballreachedPlease asap
- = 3.98 m to the north, A novice golfer on the green takes three strokes to sink the ball. The successive displacements of the ball are d₁ d₂ = 2.06 m northeast, and d3 = 1.16 m at 30.0° west of south (see the figure below). Starting at the same initial point, an expert golfer could make the hole in what single displacement? magnitude direction WE S m o north of east d₂ d₁ 30.0° dzQ3 Three displacement vectors of a cro- quet ball are shown in Figure P3.38, where |Á| = 20.0 units, |B| = 40.0 units, and | C| = 30.0 units. Find (a) the resultant in unit- vector notation and (b) the magni- %3D В А 45.0° 45.0° tude and direction of the resultant displacement.A sedan travels down and up the valley shown above. Identify the correct pair of velocity and acceleration vectors corresponding to the vehicle at the moment it is at the bottom of the valley. O A +a V O B. + V xid-1916614_1.jpg OC. + V Dxid-1916613_1.jpg OD.