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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_forwardThe two spheres shown collide. the weight of the first sphere (W1) is 40 N while that of the second is (W2) is 30N. assuming that the second sphere's velocity (v2) is 14 m/s and the first sphere's velocity (v1) is 16 m/s along the their respective angles. theta 1(θ1)=30 degrees and theta 2(θ2)=60 degrees. Assume velocities along y will be equal before and after impact. The coefficient of restitution is 0.57. A.) Determine the velocity of the 30N sphere after impact (m/s) B.) Determine the Velocity of the 40N sphere after impact (m/s) C.) Determine the angle of the velocity after impact of the 40N sphere with the horizontal (degrees) D.) Determine the angle of the velocity after impact for the 30N sphere with the vertical (degrees)arrow_forwardแสดงวิธีทำให้ดูหน่อยarrow_forward
- A 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_forwardExample 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_forward
- A 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_forwardProblem 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_forwardShore-based radar indicates that a ferry leaves its slip with a velocity v= 18 km/h while instruments aboard the ferry indicate a speed of 18.4 km/h and a heading of 30° west of south relative to the river. Determine the velocity of the river.arrow_forward
- answer should be correctarrow_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
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