An avatar on the surface of the planet Pandora throws a rock of "ba" 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? 3. From the motion diagram, the y-acceleration is constant Avy At The y velocity at t=1s is approximately the average y velocity between 0 and 2s, and similarly for the y velocity at t-3s. Find the y velocity both at t=1s and at t-3s. Then use this information to find the acceleration of the rack in the vertical direction? 4. Use they-acceleration and the y-velocity of the rock att-3s to find the initial velocity of the rock in the vertical direction (Hint: y=+a,t). The answer is not 3 m/s. y (meters) 70 60 50 40 30 20 10 30

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Activity 1.15 - Projectile Motion Diagram
An avatar on the surface of the planet Pandora throws a rock of "webwintn".
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 rack,
including (a) positions, (b) velocity vectors, and (c) acceleration vectors.
2. What is the velocity and acceleration of the rock in the horizontal direction?
3. From the motion diagram, the y-acceleration is
constant
By= At
The y velocity at t=1s is approximately the
average y velocity between 0 and 2s, and similarly
for the y velocity at t=3s.
Find the y velocity both at t=1s and at t = 3 s.
Then use this information to find the acceleration
of the rock in the vertical direction?
4. Use the y-acceleration and the y-velocity of the rock
at t=1s to find the initial velocity of the rock in the
vertical direction (Hint: y=y+at). The
answer is not 3 m/s.
y (meters)
70
S
50
40
30
20
10
0
0
10
20
time (s)
D
2
A
10
30
(meters)
x
y (m)
D
6
16
30
48
70
40
x (m)
0
10
20
30
40
50
50
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.
y(t) =
6. Assume the same motion continues. How high has the rock risen when it has moved 75 meters horizontally?
Transcribed Image Text:Activity 1.15 - Projectile Motion Diagram An avatar on the surface of the planet Pandora throws a rock of "webwintn". 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 rack, including (a) positions, (b) velocity vectors, and (c) acceleration vectors. 2. What is the velocity and acceleration of the rock in the horizontal direction? 3. From the motion diagram, the y-acceleration is constant By= At The y velocity at t=1s is approximately the average y velocity between 0 and 2s, and similarly for the y velocity at t=3s. Find the y velocity both at t=1s and at t = 3 s. Then use this information to find the acceleration of the rock in the vertical direction? 4. Use the y-acceleration and the y-velocity of the rock at t=1s to find the initial velocity of the rock in the vertical direction (Hint: y=y+at). The answer is not 3 m/s. y (meters) 70 S 50 40 30 20 10 0 0 10 20 time (s) D 2 A 10 30 (meters) x y (m) D 6 16 30 48 70 40 x (m) 0 10 20 30 40 50 50 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. y(t) = 6. Assume the same motion continues. How high has the rock risen when it has moved 75 meters horizontally?
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