Kinematics: projectiles question

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SUMMARY

The discussion focuses on solving a projectile motion problem using kinematic equations. The equations provided are 10 = (Vcos15)t + 0.5gt^2 and 1.9 = (Vsin15)t + 0.5gt^2, where V is the initial velocity and g is the acceleration due to gravity. The solution involves rewriting the equations to isolate Vcos15 and Vsin15, dividing the first equation by the second to eliminate t, and then substituting back to find V. This method effectively allows for the simultaneous solution of the equations.

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  • Understanding of kinematic equations in physics
  • Knowledge of trigonometric functions (sine and cosine)
  • Familiarity with projectile motion concepts
  • Basic algebraic manipulation skills
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  • Learn how to apply trigonometric identities in physics problems
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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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