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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: Dynamics
- The 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_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_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_forwardWhat’s the correct answer for this please ?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_forwardTwo ships A and B are moving with constant speeds VA = 20 m/s and vB = 14 m/s, respectively, along straight intersecting courses. The navigator of ship B notes the time rates of change of the separation distance r between the ships and the bearing angle 0. If r= 116 m and e = 113°, what does the navigator measure for i, ï, Ô and Ö? Check that i – ro = 0 and rö + 2rÒ = 0. A. UB 65° Answers: i m/s i m/s2 = i rad/s = i rad/s2arrow_forward
- As shown in Figure 3, a basketball player shoots when she is 16 ft from the backboard. Knowing that the ball has an initial velocity vo at an angle of 35° with the horizontal, determine the value of vo when d is equal to (a) 9 in., (b) 17 in. 16 ft- 35° 10 ft 6.8 ft Figure 3arrow_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_forwardA projectile is launched with a speed vo = 30 m/s at angle = 60°. What is the minimum speed it gets during its flight? vo Ꮎ X O 20 m/s O 15 m/s O 15√3 m/s O 10 m/sarrow_forward
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