Where:
vi is the initial velocity of the rock [0 meters/second]
a is the acceleration of the rock [-9.81 meters/second2]
s is the final position of the rock [0 meters]
si is the initial position of the rock [98 meters]
v is the velocity of the rock when it hits the water
If you plug in all of the numbers and solve for v, you should get the rock to be traveling at 43.84929 meters per second when it hits the water.
Or if your rounding it is 43.8
The height of the bridge can be calculated using the formula: distance = 0.5 * acceleration due to gravity * time^2. Given that the rock takes 8 seconds to hit the water, the height of the bridge would be approximately 313.6 meters.
The formula to calculate wavelength is: wavelength = speed of sound / frequency. Plugging in the values: wavelength = 1430 m/s / 286 Hz = 5 meters. Therefore, the wavelength of the sound wave traveling through the water is 5 meters.
The gravitational potential energy of the rock at the edge of the bridge is converted to kinetic energy as it falls. Use the formula for gravitational potential energy (mgh) to find the potential energy at the top, then equate that energy to the kinetic energy (1/2 * m * v^2) just before impact to solve for the final velocity. Finally, use this velocity in the kinetic energy formula to calculate the kinetic energy just as it hits the water.
The speed at which the rock will strike the water will be approximately 15.6 m/s. This can be calculated using the formula for free fall with an initial velocity of 0 m/s and height of 25 meters.
Light waves are the fastest way to send information, as they travel at the speed of light in a vacuum (c = 299,792,458 meters per second). Sound waves and water waves travel much slower, with sound waves traveling at about 343 meters per second in air and water waves traveling at varying speeds depending on the medium.
5 seconds
A rock falls off a bridge and hits the water 8 seconds later. How high is the bridge? A rock falls off a bridge and hits the water 8 seconds later. How high is the bridge?
The height of the bridge can be calculated using the formula: distance = 0.5 * acceleration due to gravity * time^2. Given that the rock takes 8 seconds to hit the water, the height of the bridge would be approximately 313.6 meters.
A+ the answer is 313.6
it is an enormous 59 meters off water level
The height of the main towers of the Mackinac Bridge above the water is 552 feet.
The Akashi Kaikyō Bridge, also known as the Pearl Bridge, spans 3,911 meters (12,831 feet) and is the longest suspension bridge in the world. Its main span measures 1,991 meters (6,532 feet), and the bridge towers rise to a height of 282.8 meters (928 feet) above the water. The bridge was completed in 1995 and connects the city of Kobe on Honshu with Awaji Island.
The formula to calculate wavelength is: wavelength = speed of sound / frequency. Plugging in the values: wavelength = 1430 m/s / 286 Hz = 5 meters. Therefore, the wavelength of the sound wave traveling through the water is 5 meters.
The Brooklyn Bridge clears the water below it by 135 feet (41 m) at mid-span.
The Brooklyn Bridge spans a total length of approximately 6,016 feet (1,834 meters) from shore to shore. The main span measures 1,834 feet (560 meters) long, while the bridge's towers rise to a height of 276.5 feet (84 meters) above the water. The bridge's width is about 85 feet (26 meters), accommodating both vehicle lanes and pedestrian walkways.
The Longfellow Bridge has a height of about 70 feet (21 meters) from the surface of the water to the apex of the arch at its highest point.
The total length of the Manhattan Bridge is 6,855 feet (2,089 meters). The portion that actually runs over water (over the East River) is only about 2,100 feet (640 meters), though.