A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of vi = 22.5 m/s. The cliff is h = 52.5 m above a body of water as shown in the figure below. (e) Write symbolic equations for the x and y components of the velocity of the stone as a function of time. (Use the following as necessary: vix, g, and t. Indicate the direction of the velocity with the sign of your answer.) vfx = vix​ vfy =

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Imagine an archer preparing to fire an arrow. The archer aims the arrow directly ahead, that is to say, parallel with the ground. Bows are drawn to the corner of the mouth when fired. Let's say, for this particular archer, that puts the arrow 1.8 m (about 5.5 feet) above the ground. Assume that we have measured the initial speed of arrows fired by this archer with this bow and it is 100 m/s. (Ignore wind resistance) a) At what point during the arrow's flight will it be moving the fastest? (Be careful here, think about it. You don't need to do any calculations to figure this out.) b) How long will it take for the arrow to hit the ground?c) How far will the arrow travel during this time period?

In a naval battle, a cruiser is attempting to fire on a frigate. The cruiser is a distance d₁ = 2,050 m to the east of the peak of a mountain on an island, as shown in the figure below. The frigate is attempting to evade cannon shells fired from the cruiser by hiding on the west side of the island. The initial speed of the shells that the cruiser fires is v₁ = 245 m/s. The peak of the mountain is h = 1,690 m above sea level, and the western shore of the island is a horizontal distance d₂ = 270 m from the peak. What are the distances (in m), as measured from the western shore of the island, at which the frigate will be safe from fire from the cruiser? (Note the figure is not to scale. You may assume that the height and width of the frigate are small compared to d₁ and h.) less than Need Help? Read It 0₁ Ja₂ m, or more than d₁ m

An Olympic diver is on a diving platform 4.5 m above the water. To start her dive, she runs off of the platform with a speed of 1.3 m/s in the horizontal direction. Determine the diver's speed just before she enters the water. 4.7 m/s 9.5 m/s 6.4 m/s 0 m/s

On a day when the wind is blowing toward the south at 5 m/s , a runner logs west at 1.6 m/s.what is the magnitude of velocity of the air relative to the runnerCalculate answer to one decimal.

A baseball with mass of 0.14 kg is batted into the air. Its initial speed is 47.4 m/s, directed at an angle 14 degrees above the horizontal. After 1.5 seconds, what is the vertical component of the ball's velocity (in m/s)? Use positive values for the upward direction, and negative values for the downward direction.