7 Position and velocity of a car

7 Position and velocity of a car - Next Velocity of a...

Info icon This preview shows pages 1–2. Sign up to view the full content.

Next: Velocity of a falling Up: Velocity and Acceleration: Put Previous: Velocity and Acceleration: Put Position and velocity of a car Example In driving in a straight line from New York to Boston, your position function given in miles from New York is described by the function: where t is the number of hours since the trip began. It takes you 8 hours to get to Boston. a) Find your velocity at time t = 1/2 hrs. b) Do you ever backtrack during the trip? Solution to a): First, we find your velocity function at any time by differentiating your position function. v ( t ) = f '( t ) = 5 t 2 - 50 t + 120. Then, to find your velocity after half an hour, we just plug 1/2 into the velocity function. Hey, it sounds high but a lot of states have upped their speed limits. Solution to b) (Do you backtrack?): Yes you do. It seems you left your favorite Mets baseball cap at the rest stop when you took it off to check your thinning hair in the mirror. Passing through Providence, you noticed the shiny spot on your head when you looked in the rear view mirror and realized you had forgotten it. Unfortunately, when you got back to the rest stop, you
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

Image of page 2
This is the end of the preview. Sign up to access the rest of the document.
  • '
  • NoProfessor
  • Velocity, Toilet, Major League Baseball

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern