1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Acceleration of an object is always directed perpendicular to its velocity

  1. Sep 23, 2003 #1
    if i drop a package off a plane, then a second later i drop another package, the distance between the packages will be constant right? or would it be increasing? why?


    if the acceleration of an object is always directed perpendicular to its velocity, is the object speeding up?
     
    Last edited by a moderator: Feb 6, 2013
  2. jcsd
  3. Sep 24, 2003 #2

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    Taking the initial height to be H, acceleration due to gravity g, "drop" to mean initial speed is 0, and the moment you drop the first package to be t=0, its height at time t is given by
    x1= (-g/2)t2+ H.

    Dropping the second package at time t0> 0, from the same height with 0 initial speed, its height is given by
    x2= (-g/2)(t-t0)2+ H.

    The "distance between them" is x2- x1. That will be constant if it doesn't depend on t. Go ahead and do the algebra and see what happens.

    As for your second question: assuming by "speed up", you mean "increase its speed"-i.e. the length of the velocity vector, changing the length of the velocity vector depends on the component of acceleration in the same direction as the velocity vector. In the case that the acceleration vector is perpendicular to the velocity vector, there is no parallel component.

    In particular, if the acceleration is constant in magnitude (length of the vector) and perpendicular to the velocity vector, the motion is in a circle with constant speed.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Acceleration of an object is always directed perpendicular to its velocity
Loading...