Kinematcis, archer and his arrow

  • Thread starter alicia113
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In summary, kinematics is a branch of physics that focuses on the motion of objects without considering the forces involved. The motion of an archer's arrow can be explained using kinematics principles such as velocity, acceleration, and trajectory. Factors such as initial velocity, air resistance, gravity, and the weight and shape of the arrow can affect its motion. The archer's technique, including the angle and force of the bowstring, also plays a significant role in the arrow's trajectory. By understanding kinematics, an archer can use this knowledge to improve their accuracy by making adjustments to their technique.
  • #1
alicia113
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An archer shoots an arrow straight up into the air with an initial velocity of 45 m/s . Calculate the maximum height of the arrow.

The equation I would use for this is:
Vf^2 = Vo^2+2as

where:
Vf is final velocity
Vo is initial velocity
a is acceleration (gravity)
s is displacement

plug in the numbers we know:
0^2 = 45^2 + 2(-9.8)s

now solve for s

0=2025-19.6s
-2025=-19.6s

s = 103.32 meters.is this right
 
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  • #2
Yes.
I would say it is best to rearrange the equation to make [itex] s [/itex] the subject first and then substitute numbers.
 

1. What is kinematics?

Kinematics is a branch of physics that deals with the motion of objects without considering the forces that cause the motion.

2. How does an archer's arrow move through the air?

The motion of an archer's arrow can be explained using kinematics principles such as velocity, acceleration, and trajectory. When the arrow is released, it experiences an initial velocity and is subject to the force of gravity, causing it to follow a parabolic path until it reaches its target.

3. What factors affect the motion of an archer's arrow?

The motion of an archer's arrow is affected by factors such as the initial velocity, air resistance, gravity, and the weight and shape of the arrow. These factors can influence the arrow's speed, direction, and trajectory.

4. How does the archer's technique affect the arrow's motion?

The archer's technique, such as the angle and force of the bowstring, can greatly impact the motion of the arrow. A skilled archer can adjust these factors to achieve a desired trajectory and accuracy.

5. Can kinematics be used to improve an archer's accuracy?

Yes, kinematics can be used to analyze an archer's technique and make adjustments to improve accuracy. By understanding the principles of kinematics, an archer can make informed decisions on factors such as the angle and force of the bowstring to achieve a more accurate shot.

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