An insect crawls on the floor along the curved path shown in the figure below. The insect's positions and velocities are indicated for times t, = 0 and t, = 5.40 s. (Note th initial velocity at t, in the +y-direction and its final velocity at t, is in the +x-direction.) y (m) 70 170 m/s
An insect crawls on the floor along the curved path shown in the figure below. The insect's positions and velocities are indicated for times t, = 0 and t, = 5.40 s. (Note th initial velocity at t, in the +y-direction and its final velocity at t, is in the +x-direction.) y (m) 70 170 m/s
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![An insect crawls on the floor along the curved path shown in the figure below. The insect's positions and velocities are indicated for times t₁ = 0 and t = 5.40 s. (Note the insect's
initial velocity at t, in the +y-direction and its final velocity at t, is in the +x-direction.)
y (m)
0.310
0.150
Vav, x
Tv₁ =
*
=
tį
Vav, Y
=
Uf
0.100
(
Find the x- and y-components of the insect's displacement, average velocity, and average acceleration between the two times. (Indicate the direction with the signs of your answers.)
(a) displacement (in m)
Ax =
= 0.170 m/s
tf
X
How is displacement along a given axis related to the initial and final positions along that axis? m
Ay = 0.16
m
0.170 m/s
0.370
(b) average velocity (in m/s)
0.037
X
What is the displacement in the x-direction? How much time has elapsed? How is average velocity related to displacement and time? m/s
X
0.029
What is the displacement in the y-direction? How much time has elapsed? How is average velocity related to displacement and time? m/s
x (m)
02
SC
023-
Scree
023-11...](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b9b21d9-1b9a-40f2-9029-9c47f65d975f%2Ff285810f-d6e3-4c97-af24-52fbe18deca9%2Fpoyosvr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:An insect crawls on the floor along the curved path shown in the figure below. The insect's positions and velocities are indicated for times t₁ = 0 and t = 5.40 s. (Note the insect's
initial velocity at t, in the +y-direction and its final velocity at t, is in the +x-direction.)
y (m)
0.310
0.150
Vav, x
Tv₁ =
*
=
tį
Vav, Y
=
Uf
0.100
(
Find the x- and y-components of the insect's displacement, average velocity, and average acceleration between the two times. (Indicate the direction with the signs of your answers.)
(a) displacement (in m)
Ax =
= 0.170 m/s
tf
X
How is displacement along a given axis related to the initial and final positions along that axis? m
Ay = 0.16
m
0.170 m/s
0.370
(b) average velocity (in m/s)
0.037
X
What is the displacement in the x-direction? How much time has elapsed? How is average velocity related to displacement and time? m/s
X
0.029
What is the displacement in the y-direction? How much time has elapsed? How is average velocity related to displacement and time? m/s
x (m)
02
SC
023-
Scree
023-11...
![(c) average acceleration (in m/s²)
= 0.0185
X
What is the final x-component of the velocity? If the initial velocity is in the y-direction, what is the initial x-component of velocity? How is average acceleration related
to initial and final velocity? m/s²
a avi
X
a avi
What is the displacement in the y-direction? How much time has elapsed? How is average velocity related to displacement and time? m/s
y
= -0.0185
X
If the final velocity is in the x-direction, what is the final y-component of velocity? What is the initial y-component of the velocity? How is average acceleration related
to initial and final velocity? m/s2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b9b21d9-1b9a-40f2-9029-9c47f65d975f%2Ff285810f-d6e3-4c97-af24-52fbe18deca9%2F5b4thaf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(c) average acceleration (in m/s²)
= 0.0185
X
What is the final x-component of the velocity? If the initial velocity is in the y-direction, what is the initial x-component of velocity? How is average acceleration related
to initial and final velocity? m/s²
a avi
X
a avi
What is the displacement in the y-direction? How much time has elapsed? How is average velocity related to displacement and time? m/s
y
= -0.0185
X
If the final velocity is in the x-direction, what is the final y-component of velocity? What is the initial y-component of the velocity? How is average acceleration related
to initial and final velocity? m/s2
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