Projectile Motion: Find Initial Velocity of Diver Springing From 3m Board

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Homework Help Overview

The problem involves a diver springing from a 3-meter high board and entering the water with a specified speed and angle. The objective is to determine the initial velocity of the diver, including both magnitude and direction.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the use of kinematic equations to find the initial velocity and explore the relationship between final speed, angle, and components of velocity. Questions arise regarding the horizontal component of velocity and its constancy during the dive.

Discussion Status

Some participants have made attempts to calculate components of velocity and share their findings, while others provide hints and ask for clarification on the methods used. There is an indication of progress, with one participant expressing satisfaction with their results.

Contextual Notes

Participants are navigating the constraints of the problem, including the need to derive components from given final speed and angle, and the implications of gravitational effects on the diver's motion.

ladolce
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Homework Statement



A diver springs upward from a board that is three meters above the water. At the instant she contacts the water her speed is 9.10 m/s and her body makes an angle of 75.0° with respect to the horizontal surface of the water. Determine her initial velocity, both magnitude and direction.

Homework Equations



Kinematics equations :)

The Attempt at a Solution



I already got 4.9 m/s as the magnitude of the vector, but can't seem to get the direction in degrees!
 
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What's the horizontal component of her velocity?
 
i just used the (9.1)squared=v initial squared +2(-9.8)(-3) and got the v initial magnitude...i don't know how to get the components is why I'm confused actually
 
Hint: You have her final speed and angle. Use it!
 
ok, so i got 3.85 as vx and for vy =8.79 but how does that help me?
 
ladolce said:
ok, so i got 3.85 as vx
Show how you got that value.

but how does that help me?
Does the horizontal component of velocity change as the diver falls?
 
Haha I got the answer...thanks for your help =)
 

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