Abyss

The stone fell into the abyss: 2 seconds after we heard hitting bottom. How deep is the abyss (neglecting air resistance)?

(gravitational acceleration g = 9.81 m/s2 and the speed of sound in air v = 343 m/s)

Correct answer:

h =  18.6 m

Step-by-step explanation:

v=343 m/s t=t1+t2=2 s h=12gt12=vt2 h=12gt12=v(2t1) gt12=223432343t1 9.81t12+686t11372=0  t1,2=b±D2a=686±524433.2819.62 t1,2=34.96432212±36.910176236537 t1=1.9458541162516 t2=71.874498356822 h=12gt12=18.6 m



We will be pleased if You send us any improvements to this math problem. Thank you!






avatar




Tips to related online calculators
Looking for help with calculating roots of a quadratic equation?
Do you want to convert length units?
Do you want to convert velocity (speed) units?
Do you want to convert time units like minutes to seconds?

You need to know the following knowledge to solve this word math problem:

Related math problems and questions:

  • Free fall
    volny pad How long does the stone fall freely into a depth of 80m? What speed will it hit the bottom of the abyss?
  • Sound speed in Earth
    speed Through the surface layers of the Earth, sound propagates 13 times faster than through air. During the geological survey, the charge exploded 1.7 km from the measuring station. How long does it take between the vibration of the soil at the measuring point
  • The shooter
    terc2 The shooter heard the impact of the bullet on the target in one second after the shot. The bullet was moving at an average speed of 500 m/s. Calculate with speed of sound of 340 m/s. Determine the distance of the target.
  • Acceleration 2
    car if a car traveling at a velocity of 80 m/s/south accelerated to a velocity of 100 m/s east in 5 seconds, what is the cars acceleration? using Pythagorean theorem
  • Speed of sound
    sotka_t100 The average speed of sound is 330 meters per second. Estimate how long it will take to hear the church bell 1 km away. Calculate the distance from what would hear sound after 10 seconds.
  • G forces
    car_crash Calculate deceleration of car (as multiple of gravitational acceleration g = 9.81 m/s2) occurs when a vehicle in a frontal collision slows down uniformly from a speed 111 km/h to 0 km/h in 1.2 meters trajectory.
  • Collision
    motion2 The two bodies, whose initial distance is 240 m, move evenly against each other consistently. The first body has an initial velocity of 4 m/s and an acceleration of 3 m/s2, the second body has an initial speed of 6 m/s and an acceleration of 2 m/s2. Fin
  • Deceleration of car
    cars The car has a speed of 60 km/h and after 100 m journey speed of 40 km/h. What is the deceleration of a car if we assume that its movement is constantly slowed down?
  • Bomber
    b52 Bomber flies 10 km at 600 km/h. At what horizontal distance from the target, must pilot drop the bomb to hit the target? Don't care about air resistance and consider the gravitational acceleration g=9.81 m/s2.
  • Wavelength
    wave_length Calculate the wavelength of the tone frequency 11 kHz if the sound travels at speeds of 343 m/s.
  • Acceleration
    caR The car accelerates at rate 0.5m/s2. How long travels 400 meters and what will be its speed?
  • Athletic competition
    runners In a 400 meter athletic competition, a participant covers the distance as given below. find the average speed? first 80 meters 10 m/s next 240 meters 7.5 m/s last 80 meters 10 m/s
  • Brakes
    pneu The braking efficiency of a passenger car is required to stop at 12.5 m at an initial speed of 40 km/h. What is the acceleration braking by brakes?
  • Train speed
    trains Two guns were fired from the same place at an interval of 10 minutes and 30 seconds, but a person in a train approaching the place hears second shot 10 minutes after the first. The speed of the train (in km/hr), supposing that sound travels at 340 m/s is:
  • An acceleration
    car The car goes on a straight road at a speed of 72 km/h. At some point, the driver starts to brake and stops the car in 5 seconds. Find: (a) the acceleration during braking (b) the distance traveled during braking.
  • Thunder and lightning
    lightning There was a glimpse of the sky, and we hear thunder in 4.5 seconds. The light spreads at 300,000 kilometers per second so that we can assume the flash instantly without delay. However, the sound's speed is much lower in the air, one-third of a kilometer p
  • Shot
    wood_projectile Shot with a mass 43 g flying at 256 m/s penetrates into the wood to a depth 25 cm. What is the average force of resistance of wood?