Vertical Displacement of an arrow?

In summary, the initial velocity of an arrow aimed horizontally at a bulls-eye 15 m away is 128 km/hr, which is converted to 3,555.5 cm/s. The arrow will strike 87 cm below the bulls-eye, with a time elapsed of 0.42 seconds and a vertical displacement of 86.436 cm. The correct answer is D.
  • #1
dm187
2
0
1. An Arrow is aimed horizontally at a bulls-eye 15 m away. If the initial veoicity of the arrow is 128 km/hr, how far below the bulls-eye will the arrow strike?

A) 2.1 cm
B)12
C)42 cm
D)87 cm

2. Homework Equations :
x=a*t or t=x/a
y=1/2g*[t][/2]



3. So first, we convert 15 m and 128 km/hr to cm and cm/s respectively:
15m*100=1,500 cm
128 km/hr * 1000m/km * 100m/cm * 1hr/60min * 1min/60s= 3,555.5 cm/s

Next, I find how much time is elapsed:
t=1,500cm/3,555.5 cm/s
t=.42 s

Finally, I find vertical displacement:
First, convert gravity in m/s^2 to cm/s^2; 9.8m*100= 980cm
Now, y=(1/2)(980cm/s^2)*.42^2
y=86.436


So is the answer D?

Thanks in advance.
 
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  • #2
dm187 said:
1. An Arrow is aimed horizontally at a bulls-eye 15 m away. If the initial veoicity of the arrow is 128 km/hr, how far below the bulls-eye will the arrow strike?

A) 2.1 cm
B)12
C)42 cm
D)87 cm

2. Homework Equations :
x=a*t or t=x/a
y=1/2g*[t][/2]



3. So first, we convert 15 m and 128 km/hr to cm and cm/s respectively:
15m*100=1,500 cm
128 km/hr * 1000m/km * 100m/cm * 1hr/60min * 1min/60s= 3,555.5 cm/s

Next, I find how much time is elapsed:
t=1,500cm/3,555.5 cm/s
t=.42 s

Finally, I find vertical displacement:
First, convert gravity in m/s^2 to cm/s^2; 9.8m*100= 980cm
Now, y=(1/2)(980cm/s^2)*.42^2
y=86.436


So is the answer D?

Thanks in advance.

That's the correct method and the correct answer.
 
  • #3
Alright, thanks for the confirmation.
 

Related to Vertical Displacement of an arrow?

1. What is vertical displacement of an arrow?

Vertical displacement of an arrow is the change in height of the arrow's position from its initial starting point to its final resting point.

2. How is vertical displacement calculated?

Vertical displacement can be calculated by subtracting the initial height from the final height. This will give the net change in height of the arrow.

3. What factors affect the vertical displacement of an arrow?

The main factors that affect vertical displacement of an arrow are the initial velocity, angle of release, air resistance, and gravity.

4. How does air resistance impact the vertical displacement of an arrow?

Air resistance, also known as drag, can decrease the vertical displacement of an arrow by slowing down its velocity and reducing the distance it can travel.

5. Why is understanding vertical displacement important in archery?

Understanding vertical displacement is important in archery because it helps archers adjust their aim and make more accurate shots. It also allows for better understanding and prediction of the arrow's trajectory.

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