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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
- A 3 kg particle is moving with an initial velocity of 20 m/s to the right when it explodes into two fragments. Immediately after the explosion, which occurs at the origin of the coordinate system, the velocity of fragment A is observed to be 60 m/s and the fragments are traveling in the direction shown. Answer: A) what is the mass of fragment A; B) what is the speed of fragment B. MA VA : 60 m/sEC 45° Vo = 20m/s m: 3 Kgarrow_forwardTwo planes are flying at the same altitude as shown. From a radar gun on plane B, the speed of A is 1157 km/hour, the ground velocity of plane B is 988 km/h. The angle between their paths, θ = 37 degrees. What is the ground velocity of plane A ?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_forward
- A 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_forwardHelp me pleasearrow_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_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_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_forward
- 6 The linear momentum of a body can be considered the sum of the linear momentum of the differential masses which make up the body. Each of those differential masses can be treated like a particle. True Falsearrow_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: A student wants to launch a golf ball into a 3rd floor window, located 7m above ground level. The launcher shoots the golf ball at a speed of v₁. What is the minimum launch speed for the golf ball to reach the 3rd floor and what is the angle of launch 0 ? | 8 CO 0 Golf ball Dorm window 7marrow_forward
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