A girl is whirling a ball on a string around her head in a horizontal plane. She wants to let go at precisely the right time so that the ball will hit a target on the other side of the yard. When should she let go of the string?
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A girl is whirling a ball on a string around her head in a horizontal plane. She wants to let go at precisely the right time so that the ball will hit a target on the other side of the yard. When should she let go of the string?
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- A projectile is fired horizontally to the north at a velocity of 40 m/s.In a basketball game, the point guard A intends to throw a pass to the shooting guard B, who is breaking toward the basket at a constant speed of 10 ft/sec. If the shooting guard is to catch the ball at a height of 6.6 ft at C while in full stride to execute a layup, determine the speed vo and launch angle with which the point guard should throw the ball. A Answers: Vo = VO 0 = 0 i i 5.5' 43' 10 ft/sec B ft/sec O 25' 6.6'A golfer gives a ball a maximum initial speed of 51.8 m/s. What is the longest possible hole-in-one for this golfer? Neglect any distance the ball might roll on the green and assume that the tee and the green are at the same level. What is the minimum speed of the ball during this hole-in-one shot?
- The trajectory of a rock ejected from the Kilauea volcano, with a velocity of magnitude 63.9 m/s and at angle 12.1 degrees above the horizontal. The rock strikes the side of the volcano at an altitude of 90.6m lower than its starting point. Calculate the magnitude of the rock’s velocity at impact? Use g = 9.8 m/s2.A baseball is thrown at an angle θ = 22° above the horizontal with an initial vertical velocity v0y = 13.5 m/s. Use a Cartesian coordinate system with the origin at the baseball's initial position. Calculate the initial horizontal velocity component, v0x in m/s.A projectile is shot from the launcher at 6.5 m/s horizontally. It lands 3 meters away horizontally. What is the starting height of the projectile?
- How do you solve this? I've got 2/3 so farOn planet #4, you fire a projectile from the ground at an initial speed of 63.0 m/s at an angle of 38.8 degrees above the horizontal. The projectile lands 24.2 m away from the launch point. What is the value of g for planet #4?Use the technique of separating the problem into X- and Y- components to solve this problem: A Halloween prankster throws an egg out the window of an office building down onto the parking lot below. The egg is thrown with a velocity of 18 meters / second, at an upward angle of 23 degrees, and is release exactly 53 meters above the surface of the parking lot. The egg lands on the roof of a parked SUV, 2 meters above the surface of the parking lot. Using a gravitational constant, g, of 9.8 meters / second² calculate the following: 1) The time it takes for the egg to hit the parked SUV. (seconds) 2) The total distance away from the building that the egg lands. (meters)
- 5During a baseball game, a baseball is struck, at ground level, by a batter. The ball leaves the baseball bat with an initial speed v0=50.7m/s at an angle θ=40.5∘ above the horizontal. Let the origin of the Cartesian coordinate system be the ball's position the instant it leaves the bat. Ignore air resistance throughout this problem. 1)Express the magnitude of the ball’s initial horizontal velocity component, v0,x, in terms of v0 and θ. 2Express the magnitude of the ball’s initial vertical velocity component, v0,y, in terms of v0 and θ. 3)Find the ball’s maximum vertical height, hmaxℎmax, in meters, above the ground. 4)Enter an expression in terms of v0, θ, and g for the time it takes the ball to travel to its maximum vertical height. 5)Calculate the horizontal distance, xmax, in meters, that the ball has traveled when it returns to ground level.A boy decides to propose to his girlfriend in a hot air balloon. They are in the balloon, and it is moving 15 degrees south of east at a velocity 10 m/s relative to the air. When the balloon has a height of 90 m the boy is about to propose to but he drops the ring. The wind is also blowing to the east at 12 m/s relative to the ground. They now need to find the ring. a) What is the horizontal distance ( magnitude and direction) the ring lands on the ground from where it drops out of the balloon? b) What is the final velocity of the ring right before it hits the ground? c) Draw the vertical position vs time graph, velocity vs time graph, and acceleration vs time graph of the ring.