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!

Homework Help: Just a simple calculus question

  1. Nov 16, 2005 #1
    Why does
    ((v0^2 sin (2a))/2g) + ((v0 cos a)/g) sqrt(v0^2 ((sin^2)a) +hg) equal
    ((v0^2 sin (2a))/2g) (1+ sqrt(1+((2hg)/(vo^2) (sin^2)a))) ?
  2. jcsd
  3. Nov 16, 2005 #2


    User Avatar
    Homework Helper

    Multiply the right-hand term on the lhs by sin(a) and divide the sq root term by sin²(a) to balance out.
    Take out the Vo term from inside the sq root and you should have Vo².sin(2a)/2g as a commom factor.

    Let me guess: this to find the angle of elevation for maximum range when firing off a cliff of height h, yes ?
    Last edited: Nov 16, 2005
  4. Nov 16, 2005 #3
    Exactly! Wow thanks a hell of a lot!
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook