Activity 1.12-Vector Problems I 1. The final push to the summit of Mt. Everest starts at Camp 3. Your displacement from Camp 3 to Camp 4 is 400- meter west, 600-meter south, and 100 meter up. From Camp 4 to the peak is 900-meter east, 200-meter south, and 200 meter up. a. What is the displacement vector from Camp 3 to the peak of Mt. Everest? Give distances east/west, north/south and up/down from Camp 3 to the peak. b. What is the straight-line distance from Camp 3 to the peak of Mt. Everest? The straight-line distance is the distance if you drew a straight line from Camp 3 to Mt. Everest. 2. A spinning ball is falling straight downwards at 5 m/s bounces off the floor. Immediately after losing contact with the floor, the ball is moving at 4 m/s at 30° from vertical as shown. The ball is in contact with the floor for 015

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Activity 1.12- Vector Problems I
1. The final push to the summit of Mt. Everest starts at Camp 3. Your displacement from Camp 3 to Camp 4 is 400-
meter west, 600-meter south, and 100 meter up. From Camp 4 to the peak is 900-meter east, 200-meter south,
and 200 meter up.
a. What is the displacement vector from Camp 3 to the peak of Mt. Everest? Give distances east/west,
north/south and up/down from Camp 3 to the peak.
b. What is the straight-line distance from Camp 3 to the peak of Mt. Everest? The straight-line distance is the
distance if you drew a straight line from Camp 3 to Mt. Everest.
2. A spinning ball is falling straight downwards at 5 m/s bounces off the floor. Immediately after losing contact
with the floor, the ball is moving at 4 m/s at 30° from vertical as shown. The ball is in contact with the floor for
0.15
a. Write the velocity vector of the ball just before the bounce in
component vector form, ie, using unit vectors I and/or /.
b. Write the velocity vector of the ball just after the bounce in
component vector form.
m
5
30
ty
L
Write the average acceleration vector of the ball during the bounce in component vector form. Follow
rules for showing work and labeling answers, i.e., start by writing the relation you will use symbolically.
d. What is the angle (relative to vertical) of the acceleration vector? Hint: Use the
components to draw the vector involved and check that you answer roughly agrees
with your diagram.
Transcribed Image Text:Activity 1.12- Vector Problems I 1. The final push to the summit of Mt. Everest starts at Camp 3. Your displacement from Camp 3 to Camp 4 is 400- meter west, 600-meter south, and 100 meter up. From Camp 4 to the peak is 900-meter east, 200-meter south, and 200 meter up. a. What is the displacement vector from Camp 3 to the peak of Mt. Everest? Give distances east/west, north/south and up/down from Camp 3 to the peak. b. What is the straight-line distance from Camp 3 to the peak of Mt. Everest? The straight-line distance is the distance if you drew a straight line from Camp 3 to Mt. Everest. 2. A spinning ball is falling straight downwards at 5 m/s bounces off the floor. Immediately after losing contact with the floor, the ball is moving at 4 m/s at 30° from vertical as shown. The ball is in contact with the floor for 0.15 a. Write the velocity vector of the ball just before the bounce in component vector form, ie, using unit vectors I and/or /. b. Write the velocity vector of the ball just after the bounce in component vector form. m 5 30 ty L Write the average acceleration vector of the ball during the bounce in component vector form. Follow rules for showing work and labeling answers, i.e., start by writing the relation you will use symbolically. d. What is the angle (relative to vertical) of the acceleration vector? Hint: Use the components to draw the vector involved and check that you answer roughly agrees with your diagram.
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