1. Limited time only! Sign up for a free 30min personal 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!

Rearrange the Projectile Motion equation

  1. Sep 24, 2005 #1
    I have a real big problem. My physics teacher has given an extra-credit assignment to my class to figure out. He said we can use whatever we want to figure it out. The problem was to rearrange the Projectile Motion equation (d = Vit + 1/2at2) to solve for t.

    So I started out by asking my Math B2 teacher if she knew how to figure it out. After 15 minutes of work she got t = (d/t -vi) 2/a. But she didn't know how to get the second t out of the equation. We both ended up going over to the other math teacher. He got the same thing. Now the three of us are determined to figure out this answer. Can any physics wizard out there help us? All I want to know is how to rearrange the Projectile Motion equation (d = Vit + 1/2at2) to solve for t. For. Example F=ma, to rearrange the equation to sovle for m, it would be m=f/a. So I Want t= ? So can anyone help?
    -Puzzled Student
  2. jcsd
  3. Sep 24, 2005 #2
    This equation is of the form

    ax^2+bx +c = 0

    Use the quadratic formula to solve

    x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}
  4. Sep 24, 2005 #3


    User Avatar
    Science Advisor
    Homework Helper

    They'll probably kick themselves (this sounds like the classic case of getting your eyes so close to the problem they can't see it). Surely, both of them have heard of the quadratic formula.

    [tex]d=vt + \frac{1}{2} at^2[/tex]
    [tex]\frac{1}{2} at^2+vt - d = 0 [/tex]
    [tex]t = \frac{-v \pm \sqrt{v^2+4 \left( \frac{1}{2} a\right)d}}{2 \left( \frac{1}{2} a \right)}[/tex]
    Last edited: Sep 24, 2005
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Threads - Rearrange Projectile Motion Date
Find the Initial Velocity and Launch Angle for a Particular Trajectory Tuesday at 12:34 AM
Rearranging Formulas: Fairly simple but I'm very stuck Nov 15, 2017
Rearraging equation Nov 7, 2017