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Airplanes A and B are flying at the same altitude and are tracking the eye of hurricane C. The relative velocity of C with respect to A is
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Vector Mechanics For Engineers
- Plane A travels along the indicated path with a constant speed VA = 260 km/h. Relative to the pilot in plane B, which is flying at a constant speed VB = 330 km/h, what are the velocities which plane A appears to have when it is at positions C and E? Both planes are flying horizontally. B He UB E Answers: 345 m At C. VA/B( i At E, VA/B(i 69⁰ | L--x 21⁰ D C 375 m i+ i i+ i UA 675 m A j) km/h j) km/harrow_forwardแสดงวิธีทำให้ดูหน่อยarrow_forwardA ball A is projected from O with an initial velocity Vo = 700 cm/s in a direction 37o above the horizontal. A ball B300 cm from O on a line 37o above the horizontal is released from rest at the instant ball A starts. (a) How far willball B have fallen when it is hit by ball A? (b) In what direction is ball A moving when it hits ball B?arrow_forward
- Example 6. At halftime of a football game, souvenir balls are thrown to the spectators with a velocity vp. Determine the values of v, if the balls are to land between points A and B, as range of shown. 7 m B 10 m 40° 2 m 35° 1.5 m 8 marrow_forwardA train is moving horizontally to the right with the speed of VT=60 mi/h. Meanwhile, a car is traveling toward the train with the speed of VC=30 mi/h and a 30deg angle with respect to horizontal direction. Select the correct expression of the velocity vector of the train relative to the car ___________mi/h A. (60-30cos30°)-30sin30° B. (60-30cos30°) +30sin30° C. (60+30cos30°)-30sin30° D. (30cos30°-60) +30sin30°arrow_forwardA gun is fired straight up. Assuming that the air drag on the bullet varies quadratically with speed, show that the speed varies with height according to the equations = Aea - (upward motton) o =- Be (downward motion) in which A and B are constants of integration, g is the acceleration of gravity, and k = cgm where c, is the drag constant and m is the mass of the bullet (Note: x is measured positive upward, and the gravitational force is assumed to be constant.)arrow_forward
- Problem 2. A particle moves in accordance with the equation s= 32 + 24t – 2t³ Where s is in meters and t in seconds. (1) Derive the v - t equation for the motion (2) How far to the right of the origin does the particle go? (3) When, if ever, does the particle pass the origin?arrow_forwardThe trajectory of a soccer ball is analyzed when a goalkeeper decides to place it in the center of the field. Theball is kicked at a height of 1.20 meters measured from the ground with a direction of 25 degrees withrelative to the vertical. It was observed through cameras that the ball remained in the air for 2.4seconds. Determine:a- The speed with which the ball goes out.b- The hot horizontal distance it travels before hitting the ground.c- The maximum height the ball reaches.arrow_forward2 Problem A Charlotte 49ers quarterback releases a ball with speed vo= 80 ft/s and at an angle of 00 = 35 deg relative to the horizontal, as shown below. Calculate how fast the speed of the football is changing and the radius of curvature after (a) t = 1 seconds and (b) t = 2 seconds. ი.arrow_forward
- The pilot of an airplane carrying a package of mail to a remote outpost wishes to release the package at the right moment to hit the recovery location A. What angle θ with the horizontal should the pilot’s line of sight to the target make at the instant of release? The airplane is flying horizontally at an altitude of 178 m with a velocity of 239 km/h.arrow_forwardA particle of mass m is projected from point A with an initial velocity v0 perpendicular to OA and moves under a central force F along an elliptic path defined by the equation r=r0 /(2 - cos 0) Using Eq. (12.35), show that F is inversely proportional to the square of the distance r from the particle to the center of force 0.arrow_forwardThree seconds after automobile B passes through the intersection shown, automobile A passes through the same intersection. Given, the speed of automobile A is VA = 70.00 mi/h and automobile B is vg= 40.00 mi/h, respectively. Also, know that the speeds are constant for the automobiles during the encounter. N 70° 4 VB 3301 Problem 11.119.b Relative motion of particles with constant velocities-find change in position Determine the change in position of B with respect to A during a 4-s interval. (You must provide an answer before moving on to the next part.) The change in position of B with respect to A during a 4-s interval is ft at an angle ofarrow_forward
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