This time, William Tell is shooting at an apple that hangs on a tree (Fig. 3.32). The apple is a horizontal distance of 20.0 m away and at a height of 4.00 m above the ground. If the arrow is released from a height of 1.00 m above the ground and hits the apple 0.500 s later, what is the arrow’s initial velocity?
Answers
Answer:
The initial arrow's velocity is 40,9 m/s at 11.9° from the horizontal
Explanation:
In order to find the inital velocity we need to determine its components and the angle that the arrow is launched at.
For horizontal component, we will have:
ν cos(θ)t = x ⇒ cos(θ) = x/νt
For vertical component we will have:
h= v sin(θ)t ₋ gt²÷ 2 ⇒ sin (θ) = h + gt²÷2/νt
From the two equations we got, after noting that the vertical displacement is 3m, we can calculate
tan(θ) = h +gt²÷2/νt/ x÷νt = h+ gt²÷2/x = 3+ 9.8.0.5²÷2/20 = 0.21125
Now we can calculate θ = tan⁻¹(0.21125) ≈ 11.9°
Now that we know the angle we can subtitute at any of the expressions for the two components of the velocity . Let's do this subsitution at the horizontal component:
ν cos(θ)t= x =ν = x/tcos(θ)= 20/ 0.5cos(11.9) ≈ 40.9 m/s.
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An opaque material absorbs some light frequencies that shine on it and reflects others. True False please help me
Which type of mountain is created when rock layers are pushed up by forces inside the Earth?
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D. Electron microscopes are tools used to study living organisms when they're alive
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Answer:
Its the biggest terrestrial planet as the result of the interior being not able to cool down that much.
its rotates rapidly
Explanation:
the earth planet is not close to the sun,which puts it in the advantage of not loosing water.
Answers
Answer:
20.9 m/s
Explanation:
Given that,
Initial velocity, u = 16 m/s
We need to find its velocity 0.5 s into flight when a ball straight up into the air. Let it is v. It will move under the action of gravity. Using first equation of motion to find it as follows :
v=u+at
Here, a = g
v = 16 + 9.8(0.5)
v = 20.9 m/s
So, the final velocity is 20.9 m/s.
A motorcyclist is traveling east along a straight road. What is the velocity (in
meters per second) if it takes him 3 s to reach 60 meters? (Submit a number
response only!)
Answers
Answer:
20m/s
Explanation:
velocity=displacement/time
velocity=60/3
velocity=20m/s
B. 22 Hz and 42 Hz
C. 47 Hz and 55 Hz
D. 18 Hz and 26 Hz
Answers
Answer:
B. 22 Hz and 42 Hz
Explanation:
The beat is an interference pattern which occurs when two waves of slightly different frequencies meet each other. The beat is heard as a periodic variation, whose frequency (called beat frequency) is equal to the absolute value of the difference between the frequencies of the individual waves:
In this problem, we are told that 20 beats per second are produced, so the beat frequency is
Therefore, we must find the two waves which have a difference in frequency equal to this value, 20 Hz. Let's see each choice:
A. 38 Hz and 63 Hz --> --> NO
B. 22 Hz and 42 Hz --> --> YES
C. 47 Hz and 55 Hz --> --> NO
D. 18 Hz and 26 Hz --> --> NO
So, the correct choice is
B. 22 Hz and 42 Hz