(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show that the range R can be expressed in terms of the maximum height h, and in particular that R = 4hcotθ. (b) Show that, when the range is a maximum, h = R/4

2. Relevant equations

R = ( V0^2sin(2θ) ) / g

V0^2 = ( (1/4)g^2t^4+R^2 ) / t^2

Vy = Vy0 - gt

R represents displacement or range, v0 represents the initial velocity, g represents gravity, t is time and vy0 represents the y component.

3. The attempt at a solution

I tried approximately for 4 hours and still couldn't get it. It would be very nice if someone helps me.

Thanks a lot.

ps Its due tomorrow

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: How to get this 2 dimensional equation

**Physics Forums | Science Articles, Homework Help, Discussion**