Calculate the initial velocity given degree and time

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SUMMARY

The discussion focuses on calculating the initial velocity of an object launched at a 70-degree angle that lands after 6.5 seconds. The user initially attempted to apply the equation Range = v0²sin(2θ)/g but expressed uncertainty about its applicability in this scenario. The conversation highlights the importance of breaking down the motion into x and y components, specifically emphasizing the y component affected by gravitational acceleration (g). The user is encouraged to utilize the equation Voy = s * Cos(θ) * t - 0.5gt² for further calculations.

PREREQUISITES
  • Understanding of projectile motion principles
  • Familiarity with trigonometric functions in physics
  • Knowledge of gravitational acceleration (g)
  • Ability to manipulate equations involving time, angle, and velocity
NEXT STEPS
  • Study the derivation and application of projectile motion equations
  • Learn how to decompose vectors into x and y components
  • Explore the concept of gravitational acceleration and its effects on motion
  • Practice solving problems involving initial velocity and launch angles
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Students studying physics, particularly those focusing on kinematics and projectile motion, as well as educators seeking to clarify concepts related to initial velocity calculations.

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Homework Statement


haha, so hopefully my last question for the night!
Find the initial velocity, when the object is shot at 70 degrees and took 6.5s to land. (hint: look at the y direction first this time)
(For more information regarding my question, visit my earlier question from tonight: https://www.physicsforums.com/showthread.php?p=2890328#post2890328)


Homework Equations


So, I doubt it will work, but there is the equation I used earlier, Range = v02sin2θ/g



The Attempt at a Solution


Now, I know that there is the method of dividing it up into components of x and y, however I did not quite understand that. When calculating the initial velocity, given distance traveled and degree, I used Range = v02sin2θ/g which worked great (refer to https://www.physicsforums.com/showthr...28#post2890328 ), however, I don't know if that can apply to this too... Sorry, but physics is really confusing me at the minute

Let me try the component method... Okay, so, looking at the y component. Y is affected by g. Voy=s*Cos(theta)*t -.5gt^2. (I don't know if that equation is correct). So, than, I don't know s... stuck... Sure I did something wrong or I am just not getting something...
 
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*Bump*
I really need help with this tonight...
 

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