How long does the arrow take to reach its maximum height?

How long does the arrow take to reach its maximum height?

An arrow is fired into the air with an initial velocity of 160 feet per second. The height in feet of the arrow t seconds after it was shot into the air is given by the function h t = −16t2 + 160t. It takes 5 seconds for the arrow to reach its maximum height. The maximum height of the arrow is 400 feet.

How does air resistance affect an arrow?

Air resistance is fine and everything—but it adds a big problem to the falling arrow. As the arrow falls, it increases in speed. As the speed increases, the drag force increases. This means that a falling arrow has a non-constant force and a non-constant acceleration.

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How long does it take for an arrow to hit the ground?

An object 1.8 meters above the ground will take 0.1837 seconds to hit the ground (lets add air resistance of a falling arrow, so we get 0.19 seconds -which is very optimistic).

What forces are involved with a bow and arrow?

The archer holds the feather end of the arrow against the string while pulling it back. Releasing the string thrusts the arrow forward with the elastic force of the bow. The elastic potential energy of the bow is converted to the kinetic energy of the arrow.

What is the acceleration of a bow and arrow?

The bow provides a 48lb draw force at 28″ and can launch an arrow at approximately 140 feet per second. Using basic physics (a=(v-v0)/t), the average launch acceleration of about 130 g’s was expected. A normal arrow weighs about 3/4oz but the X250-1 added another 1-1/8 oz to the mass of the test arrow.

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What energy is used in bow and arrow?

elastic potential energy
When the string of a bow and arrow is pulled from equilibrium, the elastic potential energy in the bow is converted to kinetic energy of the arrow when the string is released.

How do arrows fly straight?

What makes an arrow fly straight? – Quora. The further away an arrow is from the bow, the straighter it will fly – as the energy spent on bending lessens. Vanes or fletchings on the back of the arrow speed up this process, as they slow down the back of the shaft, which is the part travelling faster.

How many joules of potential energy does an arrow have?

An arrow is drawn back so that 50 Joules of potential energy is stored in the stretched bow and string. When released, the arrow will have a kinetic energy of ____ Joules. A drawn arrow has 50 J of stored energy due to the stretch of the bow and string.

Where does the energy go when you let go of Arrow?

The “lost” energy probably goes into the bow itself. When you let go of the arrow, these bow ends also start to move. That’s energy right there. But how could you make a more efficient bow? I suspect that something like a compound bow doesn’t lose as much energy.

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Does pulling back on a bow create kinetic energy?

When you pull back on a bow, you do work. How much of this work goes into kinetic energy of the arrow? Here is an experimental method to find out. Save this story for later. In my previous post on the Black Arrow from The Hobbit, I looked at the speed of some real arrows shot in my backyard.

Why is air resistance bad for a falling arrow?

Air resistance is fine and everything—but it adds a big problem to the falling arrow. As the arrow falls, it increases in speed. As the speed increases, the drag force increases. This means that a falling arrow has a non-constant force and a non-constant acceleration.