Finding Initial Velocity in Projectile Motion Problem

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SUMMARY

The discussion focuses on calculating the initial velocity of a clam released by a seagull diving at a 60-degree angle from a height of 100 meters, hitting the beach after 3.02 seconds. The key to solving this problem lies in recognizing that only vertical components are relevant, simplifying it to a straight-down free-fall scenario. By applying the kinematic equations for vertical motion, specifically using the known vertical displacement, vertical acceleration, and elapsed time, one can derive the initial vertical velocity required for the solution.

PREREQUISITES
  • Understanding of kinematic equations in physics
  • Knowledge of vertical motion and free-fall concepts
  • Familiarity with basic trigonometry (though not necessary for this specific problem)
  • Ability to manipulate algebraic equations to isolate variables
NEXT STEPS
  • Study the kinematic equations for vertical motion in detail
  • Learn how to calculate vertical displacement and initial velocity in free-fall problems
  • Explore the effects of angle on projectile motion and its components
  • Practice similar projectile motion problems to reinforce understanding
USEFUL FOR

Students studying physics, particularly those focusing on kinematics and projectile motion, as well as educators seeking to clarify concepts related to vertical motion and free-fall calculations.

MorganJ
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I need someone to help me find the answer to this difficult homework problem: A seagull is diving towards a stone beach at an angle of 60 degrees to the vertical releases a clam from a height of 100 meters. The clam hits the beach 3.02 seconds later. To the nearest tenth of a m/s what was its speed when it was released?

I tried vi= m/s/sin(theta), r=2(vi^2/G)sin(60)cos(60)...?help?!?
 
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MorganJ said:
I need someone to help me find the answer to this difficult homework problem: A seagull is diving towards a stone beach at an angle of 60 degrees to the vertical releases a clam from a height of 100 meters. The clam hits the beach 3.02 seconds later. To the nearest tenth of a m/s what was its speed when it was released?

I tried vi= m/s/sin(theta), r=2(vi^2/G)sin(60)cos(60)...?help?!?

I haven't a clue what you think you were doing, but stop.

For this problem, all that matters are vertical components, so think of this as merely a "straight down free-fall" problem.

What is the vertical displacement?
What is the vertical acceleration?
What is the elapsed time?

(No sines or cosines needed so far)

Knowing any three of the five kinematic variables means you can find the other two. Using the three that you know (above) find "initial velocity"; understand that this will actually be the vertical component of the initial velocity.
 

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