Instantaneous velocity of a object in projectile motion

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The discussion focuses on calculating the instantaneous velocity of a stone thrown horizontally at an initial speed of 8.0 m/s, with negligible air resistance and a gravitational acceleration of 9.8 N/kg. Participants clarify that instantaneous velocity refers to the velocity at a specific moment, which includes both horizontal (Vxi) and vertical (Vyi) components. It is emphasized that speed is the magnitude of velocity, while velocity includes direction. The need to calculate horizontal and vertical components of displacement and instantaneous velocity at various time intervals is highlighted. Understanding the distinction between speed and velocity is crucial for solving the problem correctly.
NightRunnerz
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Homework Statement


stone is thrown horizontally with a initial speed of 8.0 m/s (Vxi)
Air resistance is negligible. average acceleration due to gravity = 9.8 N/Kg (down) [ay]

Homework Equations


dx= Vxi/ time
Vfy= vyi + ay x time
Instantaneou velocity equation? :S



The Attempt at a Solution


okay so it tells me to find horizontal and vertical components of displacement and instantaneous velocity at time=0.0s/1.0s/2.0s and 3.0s isn't Vyi given (initial y velocity SINCE it's 0?) and (vxi is also give - 8.0 m/s)
BUt how do i find INSTANTANEOUS velocity?
 
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Welcome to PF!

Hi NightRunnerz! Welcome to PF! :smile:
NightRunnerz said:
… how do i find INSTANTANEOUS velocity?

Instantaneous velocity just means the velocity at that particular moment (ie, the word "instantaneous" is unnecessary :rolleyes:)

(and if you need the speed, use Pythagoras! :wink:)
 
OKAY so by velocity you mean V as in speed right?
dotdotdot m/s2?
...m/s2?
 
Hi NightRunnerz! :smile:

(just got up :zzz: …)
NightRunnerz said:
okay so it tells me to find horizontal and vertical components of displacement and instantaneous velocity at time …
NightRunnerz said:
OKAY so by velocity you mean V as in speed right?

No, speed and velocity are different.

Speed is the magnitude of velocity.

Velocity has components, speed doesn't.

The question tells you to find the horizontal and vertical components of instantaneous velocity … that's vx and vy.
dotdotdot m/s2?
...m/s2?

m/s2 is acceleration :confused:
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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