1. An object is at x = -10 m moving at a constant velocity of 10 m/s. What would be the position of the body after 10 seconds?
2. Two siblings, Kaeya and Diluc, decided to take a walk around Mondstadt, following its perimeter guarded by walls. For those who haven't seen Mondstadt, you can imagine it as a city of walls with beautiful German architecture. Let's roughly assume that the walls are encircling it in a perfect circle. Both Kaeya and Diluc started at the front of the huge city gate (marked at 0 degrees), and they walk separately, away from each other. Assuming that radius of the circular city of Mondstadt to be 500 m, and the constant walking speed of both siblings to be 0.5 m/s, how long until the siblings achieve the greatest separation distance between them?
3. Please refer to the following vectors:
A = 6i + 2j - 3k
B = 3i - j - 2k
C = -i + j - 4k
D = j - 3k
E = -i + 2k
F = -5k
G = 2i
H = -3j
I = -4i +4j
Find the projection of vector C on vector D.
4. You throw a glob of putty straight up toward the ceiling, which is 5.00 m above the point where the putty leaves your hand. The initial speed of the putty as it leaves your hand is 17.12 m/s. What is the speed of the putty just before it strikes the ceiling?
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