*75. ssm As preparation for this problem, review Conceptual Example 9. The two stones described there have identical initial speeds of v, = 13.0 m/s and are thrown at an angle 0 = 30.0°, one below the horizontal and one above the horizontal. What is the distance between the points where the stones strike the ground?
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- A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of v0 = 12.0 m/s. The cliff is h = 73.0 m above a flat, horizontal beach as shown in the figure. a) How long after being released does the stone strike the beach below the cliff? ____ s b) With what speed and angle of impact does the stone land? vf = ____ m/s θ =____ ° below the horizontal1e. A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of v0 = 18.5 m/s. The cliff is h = 20.0 m above a flat, horizontal beach as shown in the figure. How long after being released does the stone strike the beach below the cliff? (in seconds)Problem 7: During a baseball game, a baseball is struck at ground level by a batter. The ball leaves the baseball bat with an initial speed v0 = 36 m/s at an angle θ = 18° above horizontal. Let the origin of the Cartesian coordinate system be the ball's position the instant it leaves the bat. Air resistance may be ignored throughout this problem. a) Express the magnitude of the ball’s initial horizontal velocity v0x in terms of v0 and θ. b) Express the magnitude of the ball’s initial vertical velocity v0y in terms of v0 and θ. c) Find the ball’s maximum vertical height hmax in meters above the ground. d) Enter an expression in terms of v0, θ, and g for the time tmax it takes the ball to travel to its maximum vertical height. e) Calculate the horizontal distance xmax in meters that the ball has traveled when it returns to ground level.
- 3. A game requires that two children throw a ball upward as high as possible at the same point and then to run horizontally in opposite directions. The child who travels the greater distance before their thrown ball impacts the ground wins. One child throws the ball at his arm’s height of 4 feet at a speed of 70 ft/sec and runs leftward at a speed of 16 ft/sec. The other child does the same but was able to throw better releasing his ball at a height of 6 feet at a speed of 64 feet second then runs rightward immediately at a speed of 17.8 ft/sec. Which child wins the game?The initial speed of the ball is v0 = 22.2 m/s, the angle the ball is hit at is θ = 43o, and g = 8.4. How far away does the ball hit the ground?1. A golfer hits a golf ball on a flat, horizontal surface with an initial velocity of 67.7 m/s @ 45°. Calculate the following: (a) Vox and Voy. (b) The time it will take the ball to reach maximum height. (c) The maximum height the ball will rise to. (d) The total air time of the ball. (e) The range of the ball. (f) The position (x,y) of the ball at t=1.0s. (g) The components of velocity of the ball (Vx, Vy) at 1.0s. (h) The velocity vector of the ball at 1.0s. (i) The velocity vector of the ball just as it hits the ground.
- 1. The free throw line in basketball is 4.57 m (15 ft) from the basket, which is 3.05 m (10 ft) above the floor. A player standing on the free-throw line throws the ball with an initial speed of 8.00 m/s, releasing it at a height of 2.58 m above the floor. At what angle above the horizontal must the ball be thrown to exactly hit the basket? Note that most players will use a large initial angle rather than a flat shot because it allows for a larger margin of error. ________________° above the horizontal 2. An Olympic diver is on a diving platform 6.50 m above the water. To start her dive, she runs off of the platform with a speed of 1.27 m/s in the horizontal direction. What is the diver's speed, in m/s, just before she enters the water? ___________________m/sDuring a baseball game, a baseball is struck, at ground level, by a batter. The ball leaves the baseball bat with an initial speed v0=25.7m/s at an angle θ=20.5∘ 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. A) Express the magnitude of the ball’s initial horizontal velocity component, v0,x0,, in terms of v00 and θ. B) Express the magnitude of the ball’s initial vertical velocity component, v0,y0,, in terms of v00 and θ. C) Find the ball’s maximum vertical height, hmax in meters, above the ground. D) Enter an expression in terms of v0, θ, and g for the time it takes the ball to travel to its maximum vertical height. E) Calculate the horizontal distance, xmax, in meters, that the ball has traveled when it returns to ground level.During 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.
- 1. A golfer hits a golf ball on a flat, horizontal surface with an initial velocity of 67.7 m/s @ 45°. Calculate only (h) and (i): (a) Vox and Voy. (b) The time it will take the ball to reach maximum height. (c) The maximum height the ball will rise to. (d) The total air time of the ball. (e) The range of the ball. (f) The position (x,y) of the ball at t=1.0s. (g) The components of velocity of the ball (Vx, Vy) at 1.0s. (h) The velocity vector of the ball at 1.0s. (i) The velocity vector of the ball just as it hits the ground.A Chinook (King) salmon (Genus Oncorynchus) can jump out of water with a speed of 6.73 m/s. (See Problem 4.9, page 111 for an investigation of how the fish can leave the water at a higher speed that it can swim underwater.) If the salmon is in a stream with water speed equal to 1.55 m/s, how high in the air can the fish jump if it leaves the water traveling vertically upwards relative to the Earth? ma student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of vo=18,5 m/s. the cliff is h=49.0 m above a flat, horizontal beach. this is a sub-par solution. (e) How long after being released does the stone strike the beach below the cliff. give answers in seconds?. (f) with what speed and angle of impact do the stone land? vf= in m/s 0= degree below the horizontal ( give answers in that form)