What is the Total Airtime of an Arrow Shot Straight Up at 20m/s?

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Homework Help Overview

The problem involves determining the total airtime of an arrow shot straight up with an initial velocity of 20 m/s. The context is within kinematics, specifically dealing with projectile motion under the influence of gravity.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss relevant equations for projectile motion and question which formulas apply given the initial conditions. There is an exploration of the relationship between upward and downward motion, with some participants considering the effects of gravity on the arrow's trajectory.

Discussion Status

Some participants have suggested looking at various kinematic equations and have raised questions about the velocity of the arrow at different points in its flight. There is an ongoing exploration of how to approach the problem, with no explicit consensus reached yet.

Contextual Notes

Participants note the importance of considering the acceleration due to gravity and the signs associated with it, as well as the need to clarify the total airtime by considering both ascent and descent.

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Homework Statement


An arrow is straight up into the air at 20m/s what is the total airtime of the arrow


Homework Equations



i don't know what formula to use but i tried
F=MG

The Attempt at a Solution


F=Mg
 
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You need to look through the relevant equations for these kinds of problems and see what is applicable given the knowns in the question:

v = u + at

s = ut + 1/2at^2

s = vt - 1/2at^2

s =1/2(u + v)t

v^2 = u^2 + 2as

You are given the initial velocity (u) of the arrow, and you know (a) = 9.81 m/s^2

If something was thrown up in the air, what would happen to it eventually just before it starts to come down, what would its velocity (v) be then?

Also take into consideration the sign (+ or -) of gravity.
 
so do i get time first ? from v = u = at
 
v = u + at

What are you trying to solve for? Think of it conceptually, if an object is thrown up into the air, the total time up in the air is the time it spent going up and the time it spent coming down.
 
so i just find the time its going up and double it to make it going up and down

the problem is idk what formula 2 use
 

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