*8 A person walks in the fellowing pattern: 3.1 km north, then 2.4 km west, and finally 5.2 km south. (a) Sketch the vector diagram that represents this motion. (b) How far ănd (c) in what direction would a bird fly in a straight line from the same starting point to the same final point?
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- 1. Find the following for path A in Figure 3.52: (a) the total distance traveled, and (b) the magnitude and direction of the displacement from start to finish. N w -E S Start B- D Figure 3.52 The various lines represent paths taken by different people walking in a city. All blocks are 120 m on a side. 2. Find the following for path B in Figure 3.52: (a) the total distance traveled, and (b) the magnitude and direction of the displacement from start to finish.A motorcycle stunt person leavesthe jump ramp travelling at 35 m/s at 22 degreesto the horizontal. What are the horizontal and vertical velocities of the motorcycle? Use a vectordiagram. 1. Draw vector diagram 2. Solve the horizontal velocity 3. Solve the vertical velocityA frog leaps off the ground at an angle of 20 degrees to the horizontal. It's in the air for .84 seconds before landing at the same height from which it took off. a) Given this leap, what is the initial velocity of the frog? b) How far does the frog jump?
- a) What is the distance it travelled during 2 seconds?b) In what direction did it ravel (angle with the positive x-axis)? c) What is the acceleration vector of this particle?Here you are designing a motorcycle stunt where the motorcycle leaves a ramp at an angle θ and lands on another ramp of the same height. You need to know where to place the second ramp. You will make a mathema1cal model to predict the range (i.e., to predict how far the motorcycle will land from the first ramp).5. An object is projected horizontally at a speed of 40.0 m/s from the top of a cliff 120 m high. a) What is the object's actual velocity 3.0 seconds later? (The actual velocity is the vector sum of the horizontal and vertical velocities.) b) How long does it take the object to hit the ground?
- stion A postman leaves the post office and drives 1.6 km in the north direction. He then drives in a direction 60.0° south of eact for 5.9 km (see Figure) North out of 60° East Post office What is his resultant displacement from the post office (in vector form)? O a. -3.51 mi + 2.95 mj Ob. 5.90 mi+ 1.60 mj Oc. 2.95 mi+-3.51 mj Od. None of the above O e. 1.35 mi- 5.11 mjVector A has a magnitude of 7.3m and points east. What are the magnitude and directionn of the following vectors? 1). -1.5A 2.) 2.0A Please show steps!1つ7 3. An object undergoes motion in 2 dimensions under a constant acceleration of "-2.50 m/s at an angle of 50.0° with respect to the + x direction. It also has an initial velocity of vi = 7.00 m/s at an angle of 10,0° The object begins at the coordinates (0, 0). a) What are the coordinates of the object at t = 7.00 s? Want Cx, y) at t =?4 4tzテメ0チ=XT vse this Con Vxi = \V;l cos v +ハ Ay=lalsin Ga b) What is its total velocity vector of the object as a magnitude and direction at t = 7.00 s? a) Ov= Ton
- 7. A man drives 10miles to the north and then 20 miles to the east. What are the magnitude and directions of his displacement from the starting point? c. 28mi @ 40° above the horizontal d. 32mi @ 43° above the horizontal1. Find the following for path A in Figure 3.52: (a) the total distance traveled, and (b) the magnitude and direction of the displacement from start to finish. N w -E -C- B- D Start - Figure 3.52 The various lines represent paths taken by different people walking in a city. All blocks are 120 m on a1.) Jason Renie set a world record of 77.0 m for motorcycle jump. Assume that he left the take-off ramp at 12.0° to the horizontal and that the take- off and landing heights are the same. Determine his take-off speed (in m/s). 2.) A model of a helicopter rotor has four blades, each 3.40 m long from the central shaft to the blade tip. The model is rotated in a wind tunnel at 550 rev/min. What is the radial acceleration (in m/s²) of the blade tip? 3.) A tourist in Cebu dives off a cliff with a running horizontal leap. What must her minimum horizontal speed (in m/s) be just as she leaves the cliff so that she will miss the ledge at the bottom, which is 1.75 m wide and 9.00m below the top of the cliff? 4.) In a test of a "g-suit", a volunteer is rotated in a horizontal circle of radius 7.0 m. What must the period (in s) of rotation be so that the centripetal acceleration has a magnitude of 3.0g? Note: Use 9.8 m/s² for the value of g. 5.) A pool ball leaves a 0.60-meter-high table with an…