Physics

Can someone please tell me if I've approached this homework problem correctly. A boy is running at his best speed of 6.0 m/s to catch a bus stopped at the lights. When he is 16 m from the bus, the light goes green and the bus pulls away at an acceleration of 1.0 m/s/s. Does he catch up with the bus and if yes how far does he have to run?
I set the distance of the boy equal to the distance of the bus in order for him to catch up to it and got: 6t=16 +1/2t^2, then solved the quad. equation to get t=4 or 8. So he ran 24m till he caught the bus. Did I do this correctly.

  1. 👍 0
  2. 👎 0
  3. 👁 240
asked by Brigid
  1. That is the right equation. I will rewrite it as:

    t^2 -12t + 32 = 0
    (t-4)(t-8) = 0
    (The t=8 time is when the bus would pull past him, if he didn't get on and passed it at t=4)

    He will have run 24 s at t=4. Yes, you did it right. Nice job.

    1. 👍 0
    2. 👎 0
    posted by drwls
  2. Yeah! thank you very much for checking my work. I can go to bed now.

    1. 👍 0
    2. 👎 0
    posted by Brigid
  3. I meant 24 meters, not 24 seconds. You figured that out already

    1. 👍 0
    2. 👎 0
    posted by drwls

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra

    How can algebra be used to solve this problem? The boy solved 10 problems correctly at 8 cents a problem for a total of 80 cents, and 16 incorrectly at the cost of 5 cents for a total of 80 cents. Therefore, neither the boy nor

    asked by Kate on June 22, 2009
  2. Math

    I can't figure this out! Help please! The Problem At the local park, I saw a man was quizzing a boy with some simple arithmetic problems, and the boy seemed to be getting them all correct. He asked the boy, "32 + 5", and the boy

    asked by George on September 30, 2015
  3. MATH

    in a contest, Bello. Adamu, and Lawi are asked to solve a mathematical problem. the probability that they solve the problem correctly are 1/5, 2/3, and 2/5. find the probability that:(1)None of them solve the problem

    asked by biliyaminu on January 13, 2016
  4. Physics

    A boy has a mass of 45 kg and is running with a velocity of 8 m/s. Find the boy's kinetic energy.

    asked by angela on October 17, 2011
  5. Chemistry

    ok.. im confused: Ammonia and oxygen react in the equation: 4NH³+5O²--> 4NO+6H²O. When 2.4 mol of NH³ are present, the reaction yields ____ mol of O². i have no clue how ot do this! Look at your problem to make sure it is

    asked by Briana on January 18, 2007
  6. Algebra

    How do I work this problem, it is not a homework problem but a problem similar to a homework problem. I know i need to factor the left side of the problem. here is what I have so far.. x^2-2x+1=7 x^2-2x+1-7=7-7 x^2-2x-6=0 here is

    asked by Becca on October 3, 2007
  7. Algenra

    How do I work this problem, it is not a homework problem but a problem similar to a homework problem. I know i need to factor the left side of the problem. here is what I have so far.. x^2-2x+1=7 x^2-2x+1-7=7-7 x^2-2x-6=0 here is

    asked by Becca on October 3, 2007
  8. English

    1. What are the languages (which are) spoken in Canada? 2. Look at the boy who (is running) in the playground. 3. Did you see the basket (which is) full of apples? 4. I met the boy (who is) out of the classroom.

    asked by rfvv on April 20, 2017
  9. calc

    f(x)=8cos4x What is the derivative? Im doing online homework and i keep getting an incorrect answer. How do you work out this problem correctly? thanks

    asked by Adam on April 26, 2010
  10. ENGLISH

    Identify the correctly punctuated sentence. I marked the one I think it is. • Doing my homework, making my bed, and practicing guitar are on my to-do list for the day. • Doing my homework, is the first thing I should do. •

    asked by Sandra on May 15, 2014

More Similar Questions