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An expert archer demonstrates his ability by hitting tennis balls thrown by an assistant. A 2-oz tennis ball has a velocity of
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Vector Mechanics for Engineers: Dynamics
- PROBLEM 2.15 17. The position of a particle moving along the x-axis is given by x = (11 + 14t – 2.0t2), where t is in seconds and x is in meters. What is the average velocity during the time interval from t = 1.0 s tot= 4.0 s? 6 m/s b. 4 m/s с. 8 m/s d. 2 m/s а.arrow_forwardP2. A ball is kicked from the origin with an initial speed of v1, = 25.0 m/s, at an angle 0 with the horizontal. At the same time, a second ball is thrown vertically upward from the ground at point P, at x, = 40.0 m with an initial speed of v, = 15.0 m/s as shown in the figure below. Assume that both balls are shot at time t= 0 a) If the two balls are to hit each other, what must 0 be? b) At what time the two balls will hit each other? y 40 marrow_forward1. A ball A is thrown vertically upward from the top of a 30-m high building with an initial velocity of 5 m/s. At the same instant another ball B is thrown upward from the ground with an initial velocity of 20 m/s. Determine the height from the ground and the time at which they pass.arrow_forward
- 2. At the figure shown, object A and B was released at the same time. Object A has an initial velocity of 3m/s . If object A and B strikes each other at a horizontal distance of 30m, detemine (a) initial velocity of B (b) time when the two objects reached the ground (c) vertical distance at which particle A is launched. A 45° aa = 1m/s² ag = 0.5m/s² B 60°arrow_forward3. From approximately what floor of a building must a car be dropped from an at-rest position so that it reaches a speed of 80.7 ft/s (55 mi/h) when it hits the ground? Each floor is 12 ft higher than the one below it. (Note: You may want to remember this when traveling 55 mi/h)arrow_forward5- A ball is dropped onto a step at point A and rebounds with a velocity vo at an angle of 15° with the vertical. Determine the value of v, knowing that just before the ball bounces at point B its velocity vg forms an angle of 12° with the vertical. 15° A 12 0.2 m Вarrow_forward
- Some asteroid is moving towards a base in space, such that the base is positioned on the xaxis and is 2000 meters wide on the xaxis. This asteroid, moving at 500 m/s along the yaxis, is on a collision course targeted at the center of the base. However, explosives are planted on the asteroid, which makes it explode into two separate pieces. The two separate pieces of a mass of m and 2m. 1. Please draw the trajectory of the CM of the asteroid as well as the system after the explosion (with the two separate masses). 2. At the same time, the two split pieces of asteroid reach the base. The piece with mass, m, passes by the right side of the bass at 1800m from the edge of the bass. Will the asteroid piece with mass, 2m, hit the base? Please prove if it will or will not. 3. The asteroid piece of mass, m, will be moving at a direction that is makes a 30 degree angle along the x axis, and its speed will be 1000 m/s. What is the speed of the split asteroid of mass, 2m?arrow_forward1.A 10 kg of 0.5 m radius wheel rotates at 360 rpm. What centripetal force ( KN ) is developed in the wheel? 2.A particle moves in such a way that a = 2 t + 2 m/s/s , where t is in seconds. Determine the velocity ( m/s ) of the particle after 5 seconds. 4.If a particle moves in such a way that a = 2 t - 1 m/s/s , where t is in seconds. Find the velocity ( m/s ) of the particle after 5 s .arrow_forwardAs part of an obstacle course, an athlete must kick a soccer ball into al meter wide and 10 meter deep pit such that the ball hits a target at the bottom of the pit. In practice, a dynamics student that is participating in the race kicks the soccer ball such that the soccer ball will bounce off the far wall of the pit 5 meters below the surface and head towards the target. If the velocity of the ball before striking the wall at point at point A is vA=3.21- 10j , determine the t-component of the ball velocity vector (in m) after striking the wall. The size of the ball and the target are negligible relative to the dimensions of the pit, the gravity acceleration must be considered as g = 10 and the coefficient of restitution at point A is e =0.55. 5 m 10m Im 目arrow_forward
- vehicles are approaching a road junction, both moving with speed (12.5 m/s). One vehicle has mass 1000 kg and the other mass kg, and the roads meet at an angle of 60° as shown. The vehicles collide and initially move as a single body. ss of Car A= 100 kg ss of Car B = 70 kg A 12.5 m/s B 60° 12.5 m/s culate the magnitude of the velocity of the two vehicles immediately after the collision (treating them as a gle body) (m/s) culate the linear momentum in the vector form of car B. (m/s) culate the linear momentum in the vector form of car A. (m/s) Choose... Choose... Choose... 4arrow_forwardA stone is thrown from the top of a building with an initial velocity of 20 m/s straight upward. The building is 50 m high, and the stone just misses the edge of the roof on its way down. Determine: a. The time needed for the stone to reach it maximum height b. The maximum height the stone reaches c. The time needed for the stone to return to the level of the thrower d. The velocity of the stone at the instant it returns to the level of the thrower e. The velocity of the stone and position of the stone at t=5 seconds f. The velocity of the stone just before it hits the ground g. The total time the stone is in the airarrow_forwardQ4 2. A ball is launched with an initial velocity of Vo = 4.5 m/s from point P at a 30° sloped surface with an angle of 0. The ball lands at point B, which is 0.6 m higher than point A. Determine the launch angle 0 of the ball, the impact velocity at B (vB), the angle vg makes with the horizontal and the duration of the flight. Also determine the radius of curvature of the path and the rate of change of the speed of the ball at point C, where its trajectory makes an angle of 60° with the negative x-axis. g 9.81 m/s-.arrow_forward
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