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

  • Thread starter antphany
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In summary, to calculate the total airtime of an arrow traveling upwards at 20m/s, we can use the formula s = vt - 1/2at^2 to find the time it takes for the arrow to reach its maximum height, and then double that time to account for the time it takes for the arrow to come back down.
  • #1
antphany
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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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  • #2
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.
 
  • #3
so do i get time first ? from v = u = at
 
  • #4
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.
 
  • #5
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
 

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

1. What is total air time?

Total air time is the amount of time an object spends in the air during a given motion or flight. It is a measure of how long the object is airborne.

2. How is total air time calculated?

Total air time can be calculated by multiplying the number of times the object is in the air (known as the number of bounces or jumps) by the duration of each jump. Alternatively, it can also be calculated by using the formula: total air time = 2 * (height / gravity)^0.5.

3. What factors affect total air time?

The total air time of an object can be affected by various factors such as launch angle, initial velocity, gravity, air resistance, and the surface it lands on. These factors can either increase or decrease the total air time.

4. Why is total air time important?

Total air time is important in understanding the motion and trajectory of objects in flight. It is also essential in sports and other activities where the goal is to maximize or control the amount of time an object stays in the air.

5. Can total air time be increased?

Yes, total air time can be increased by adjusting the launch angle and initial velocity of an object, minimizing air resistance, or choosing a surface with higher bounce or rebound properties. However, it is also limited by factors such as gravity and the object's weight.

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