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Projectile Motion, With out numbers

  • Thread starter hockeyboy
  • Start date
  • #1
2
0
Projectile Motion, With out numbers :(

Homework Statement



A body is projected at an angle such that the horizontal range is equal to three times the greatest height. find the angle of projection.

Homework Equations


I dont know


The Attempt at a Solution



all i got so far is that vx= v cos(angle) and vy= v sin(angle)

This is a really tricky question for me and i do not know where to start.
 

Answers and Replies

  • #2
116
0


You should be able to look in your text for formulas for horizontal range (R) and max height (h). Use thes formulas to write R = 3 h, and then solve for projection angle theta.

If you don't have these formulas, the problem is a bit longer...
 
  • #3
Dick
Science Advisor
Homework Helper
26,258
618


Split in into components. x(t)=vx*t, y(t)=vy*t-(1/2)*g*t^2. Find the range by figuring out when y(t)=0. The height is where y(t) is a maximum. Where is that?
 
  • #4
2
0


ah. i got it. thanks so much. my final answer was 53.13 degrees.
 
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