An avatar on the surface of the planet Pandora throws a rock of "unobtainium". She then records the vertical (y) position and the horizontal (x) position of the rock as a function of time, as recorded in the chart on the right. 1. On the grid shown, make a motion diagram of the motion of the rock, including (a) positions, (b) velocity vectors, and (c) acceleration vectors. 2. What is the velocity and acceleration of the rock in the horizontal direction?

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Chapter1: Units, Trigonometry. And Vectors
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An avatar on the surface of the planet Pandora throws a rock of "unobtainium".
time (s)
y (m)
х (m)
She then records the vertical (y) position and the horizontal (x) position of the
rock as a function of time, as recorded in the chart on the right.
2.
10
1. On the grid shown, make a motion diagram of the motion of the rock,
including (a) positions, (b) velocity vectors, and (c) acceleration vectors.
4
16
20
30
30
2. What is the velocity and acceleration of the rock in the horizontal direction?
8
48
40
10
70
50
70
3. What is the acceleration of the rock in the vertical
60
direction?
50
40
30
20
10
4. What is the initial velocity of the rock in the vertical
direction? The answer is not 3 m/s.
10
20
30
40
50
x (meters)
Physics 211
Projectile Motion Diagram
Kinematics 15-2
5. Write equations for the horizontal and vertical positions and velocities as a function of time for the rock. Include
numerical values and units on all coefficients.
x(t) =
vz (t) =
y(t) =
vy(t) =
6. Assume the same motion continues. How high has the rock risen when it has moved 75 meters horizontally?
Y (meters)
Transcribed Image Text:An avatar on the surface of the planet Pandora throws a rock of "unobtainium". time (s) y (m) х (m) She then records the vertical (y) position and the horizontal (x) position of the rock as a function of time, as recorded in the chart on the right. 2. 10 1. On the grid shown, make a motion diagram of the motion of the rock, including (a) positions, (b) velocity vectors, and (c) acceleration vectors. 4 16 20 30 30 2. What is the velocity and acceleration of the rock in the horizontal direction? 8 48 40 10 70 50 70 3. What is the acceleration of the rock in the vertical 60 direction? 50 40 30 20 10 4. What is the initial velocity of the rock in the vertical direction? The answer is not 3 m/s. 10 20 30 40 50 x (meters) Physics 211 Projectile Motion Diagram Kinematics 15-2 5. Write equations for the horizontal and vertical positions and velocities as a function of time for the rock. Include numerical values and units on all coefficients. x(t) = vz (t) = y(t) = vy(t) = 6. Assume the same motion continues. How high has the rock risen when it has moved 75 meters horizontally? Y (meters)
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