math

The time t (in seconds) that it takes for an object to fall a distance of s feet is given by the formula

t = radical symbol s /4

In some places, the Grand Canyon is one mile (5,280 feet) deep. How long would it take a stone dropped over the edge of the canyon to hit bottom?

would the answer be

18 or 26 seconds?

  1. 👍 0
  2. 👎 0
  3. 👁 68
  1. I get neither of those. Put this into the google search window:

    sqrt(5280/4)

    Finally, your formula is not accurate.

  2. ok i got

    36.3318042

    thank you

    1. 👍 0
    2. 👎 0
  3. would the formula be

    t = sqrt of 5280/4?

    1. 👍 0
    2. 👎 0
  4. for a sense check - check in SI units!

    1 mile is approx 1600 metres, a is approx 10 m s^-2

    t=sqrt(2s/a)

    t = sqrt(2 x 1600/10)

    t= sqrt(320)

    t is approx 18 (8x sqrt5)

    or have I made a mistake?

    1. 👍 0
    2. 👎 0
    posted by Dr Russ
  5. Jennifer
    I answered this same question for you yesterday.

    http://www.jiskha.com/display.cgi?id=1224095175

    1. 👍 0
    2. 👎 0
    posted by Reiny
  6. d = (1/2)g t^2
    in feet, seconds units g = 32 ft/s^2 approximately
    so
    d = 16 t^2
    t^2 = d/16
    t = (1/4)(sqrt d)
    if d = 5280
    t = .25 (sqrt 5280)
    = .25 * 72.7
    =18.2 seconds

    1. 👍 0
    2. 👎 0
    posted by Damon

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Please help!! We can determine the time it would take an object to fall (if there were no air resistance) by using the formula where d is the distance.t=1/4sq.root of d, d being the distance 1. We can determine the time it would

    asked by Ashley on September 13, 2010
  2. algebra

    We can determine the time it would take an object to fall (if there were no air resistance) by using the formula where d is the distance. A. How long does it take a quarter dropped from a 35 foot roof to reach the ground? B. If

    asked by rose on September 12, 2010
  3. MATH HELP

    A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = −16t2 + 48t where t equals the time in seconds and h(t) represents the height of the ball at time t seconds. What is the axis of

    asked by Oscar on February 15, 2016
  4. algebra

    A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = −16t2 + 48t where t equals the time in seconds and h(t) represents the height of the ball at time t seconds. What is the axis of

    asked by anon on April 27, 2016
  5. Physics

    An object is released from rest at height h above the surface of the Earth, where h is much smaller than the radius of the Earth. It takes t seconds to fall to the ground. At what height should this object be released from rest in

    asked by Liza on June 23, 2012
  6. math

    The time t (in seconds) that it takes for an object to fall a distance of s feet is given by the formula t = radical symbol s /4 In some places, the Grand Canyon is one mile (5,280 feet) deep. How long would it take a stone

    asked by jennifer on October 15, 2008
  7. calculus help check and help

    if an object with mass m is dropped from rest, one model for its speed v after t seconds, taking air resistance into account is v= mg/c(1-e^(-ct/m)) where g is the acceleration due to gravity and c is a positive constant

    asked by JuYoung on April 16, 2014
  8. math

    the distance, d, an object falls when dropped from a tower varies directly as the square of the time it falls. If the object falls 144 feet in 3 seconds, how far will it fall in 11 seconds?

    asked by Jared on January 4, 2011
  9. math

    HELP PLEASE! The distance d that an object falls is directly proportional to the square of the time of the fall,t. A person who is parachuting for the first time is told to wait 12 seconds before opening the parachute. If the

    asked by kayla on July 24, 2015
  10. physics

    Question: Object A is moving at a maximum speed of 6m/s towards Object B. At 50 m away Object B accelerates from the approaching Object A at 0.3m/s^2. Does Object A catch up to Object B and if yes when? I don't know how to answer

    asked by sam on November 24, 2014

More Similar Questions