Kinematics: projectiles question

AI Thread Summary
The discussion focuses on solving two kinematic equations simultaneously to find the initial velocity (V) of a projectile. The first equation is rewritten as Vcos15 = 10 - 0.5gt^2, and the second as Vsin15 = 1.9 - 0.5gt^2. By dividing the first equation by the second, participants suggest solving for time (t). Once t is determined, it can be substituted back into either equation to solve for V. This method provides a systematic approach to finding the solution for the projectile's initial velocity.
lektor
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Given the context of this question being quite large and my main problem being the solving i won't bother with diagrams but anyway

the kinematics conditons are

Such that i have 10 = (Vcos15)t + 0.5gt^2
1.9 = (Vsin15)t + 0.5gt^2

Can anyone please show me the steps for solving this simultaneously for V,

Cheers.
 
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Write the 1st eqn as:Vcos15 = whatever
Write the 2nd eqn as :Vsin15 = whichever

Divide the 1st eqn by the 2nd eqn
Solve for t
substitute for t into the 1st or 2nd eqn
Solve for V
 

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