A stone is dropped from the deck of the bridge. The sound of the splash reaches the deck 3 seconds later. If sound travels at 342 m/s in still air, how high is the deck of bridge above the water?

  1. 👍 1
  2. 👎 1
  3. 👁 1,513
  1. the falling time can be found by:

    h-4.9t^2 = 0
    t = √(h/4.9)

    echo time is h/342, so

    √(h/4.9) + h/342 = 3.0
    h = 40.673 meters

    1. 👍 1
    2. 👎 0
  2. Height of bridge can be calculated using 3rd kinematical equation i.e. S=ut+1/2at^2 put S=0 as displacement is 0 and a=-9.8 and u=0 as initial speed is 0 after calculating we will get the value of t=√(h/4.9) and then apply a simple formulae of speed=distance/time ,time we know speed of sound is given simply calculate the value of distance i.e.h=40.6728m

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calculus

    A stone is dropped from the upper observation deck of a tower, 200 m above the ground. (Assume g = 9.8 m/s^2.) a)Find the distance (in meters) of the stone above ground level at time t. b)With what velocity does it strike the

  2. Physics

    A stone is dropped from the top of a cliff. The splash it makes when striking the water below is heard 3.5 s later. How high is the cliff


    A rock is dropped from rest into a well. The sound of the splash is heard 2.40 s after the rock is released from rest. (a) How far below the top of the well is the surface of the water? The speed of sound in air (at the ambient

  4. Science

    A girl standing on a bridge throws a stone vertically downward with an intial velocity of 15.0 m/s into the river below. If the stone hit's the water 2.00 seconds later what is the height of the bridge above the water?

  1. physics

    A spelunker (cave explorer) drops a stone from rest into a hole. The speed of sound is 343 m/s in air, and the sound of the stone striking the bottom is heard 3.24 s after the stone is dropped. How deep is the hole?

  2. Calculus

    To estimate the height of a building, a stone is dropped from the top of the building into a pool of water at ground level. How high is the building if the splash is seen 6.7 seconds after the stone is dropped? Use the position

  3. physic

    A stone is dropped from the roof of a high building. A second stone is dropped 1.00s laterHow far apart are the stones when the second one has reached a speed of 12.0m/s ?

  4. Physics

    A woman on a bridge 75.0m high sees a raft floating at a constant speed on the river below. She drops a stone from rest in an attempt to hit the raft. The stone is released when the raft has 7.00m more to travel before passing

  1. Physics

    A stone is dropped into a well of depth 11 m. How long after that, the sound of the splash can be heard? Given speed of sound =343ms^-1

  2. physics

    A log is floating on swiftly moving water. A stone is dropped from rest from a 84-m-high bridge and lands on the log as it passes under the bridge. If the log moves with a constant speed of 3.6 m/s, what is the horizontal distance

  3. physics

    if a stone dropped into a well reaches the water's surface after 3.0 seconds, how far did the stone drop before hitting the water?

  4. physics

    A stone is dropped from a 75 m high building. when this stone has dropped 15m, a second stone is thrown downward with an initial velocity such that two stones hit the ground at the same time. find a. time taken for the first stone

You can view more similar questions or ask a new question.