Projectile Motion (in a vaccum)

AI Thread Summary
The discussion addresses a problem related to projectile motion in a vacuum, specifically the relationship between time of flight, maximum height, and initial velocity. The user highlights a confusion regarding the calculation of maximum height time, which should be half of the total time until impact. A correction is noted about a missing cosine term in the formula for velocity. The user expresses gratitude for assistance in resolving the issue. The conversation emphasizes the importance of accurately applying trigonometric functions in projectile motion equations.
RogerDodgr
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issue resolved; thanks dick

Given are listed in photo:
t_f=time final (at impact)
y_max = max height
v_o = initial velocity
final height = initial height = 0
x_f =D = final distance

I am having a problem with this because I know max height time must be half of final time at impact (zero height):
http://www.sudokupuzzles.net/blstc.gif
 
Last edited by a moderator:
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You lost a cos(alpha) around the middle of the page. v0^2=16*D/(cos(alpha)^2*tan(alpha)). Note the squared on the cos(alpha).
 

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