Time required for falling objects speed to double

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Homework Help Overview

The problem involves an eagle dropping a fish and questions the time required for the fish's speed to double, considering both horizontal and vertical components of motion. The subject area relates to kinematics and the effects of gravity on falling objects.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the interpretation of the problem, particularly the distinction between horizontal and vertical motion. Questions arise about how to calculate total speed and the vertical component of motion.

Discussion Status

Some participants have provided insights into the relationship between horizontal and vertical speeds, while others are exploring how to determine the vertical component of motion. There is an ongoing exchange of ideas without a clear consensus on the approach to take.

Contextual Notes

Participants are grappling with the initial conditions of the problem, particularly the initial vertical velocity of the fish and the implications of gravity on its motion. The discussion reflects uncertainty about how to apply the concepts of speed and acceleration in this context.

bigbobby
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An eagle is flying horizontally at 7.6 m/s with a fish in its claws. It accidentally drops the fish.
(a) How much time passes before the fish's speed doubles?
(b) How much additional time would be required for the fish's speed to double again?



Maybe someone else will understand this better than I am. There is no acceleration in the x direction, so they must be talking about the y direction. But if his initial y velocity was 0 (he is flying horizontally) then you can't double 0 ...



Thanks for any help.
 
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No, the question is talking about the total speed, both vertical and horizontal. Do you know how to find total speed given vertical & horizontal speed?
 
Is it √(x^2 + y^2)

I'm still not quite sure how to find the vertical component though?

Thanks for your reply.
 
Yes. The vertical component is just gt, since gravity adds 9.8 m/s to the vertical speed every second.
 

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