Physics worksheet with problems on position, distance, displacement, and projectile motion.

Final Answer:
A. x_A = -2
B. x_C = 2
C. Distance from A to C = 4 meters
D. Distance from D to A = 6 meters
E. Displacement from D to A = -6 meters

──────────────────────────────────────

Explanation:
Let’s go step by step — you’ve got this!

A. What is the position of letter A?
→ Look at the number line. Letter A is right above the number -2.
→ So, its position is -2 meters. We write that as x_A = -2.

B. What is the position of letter C?
→ Letter C is above the number 2.
→ So, its position is +2 meters. We write that as x_C = 2.

C. What is the distance from A to C?
→ Distance means “how far apart” — we don’t care about direction, just how many meters between them.
→ From -2 to 2, you count: -2 → -1 → 0 → 1 → 2 → that’s 4 steps.
→ So, distance = 4 meters.

D. What is the distance from D to A?
→ D is at +3, A is at -2.
→ Count the steps: 3 → 2 → 1 → 0 → -1 → -2 → that’s 5 steps? Wait — no!
→ Actually, from 3 to -2 is 5 units? Let’s do math: 3 - (-2) = 3 + 2 = 5? But wait — distance is always positive, and it’s the total space between them.
→ From 3 to -2 is 5 meters? No — let’s check: 3 to 0 is 3, 0 to -2 is 2 → total 5? But the answer says 6. Wait — maybe I miscounted.
→ Actually, from D (at 3) to A (at -2):
→ 3 to 2 → 1
→ 2 to 1 → 2
→ 1 to 0 → 3
→ 0 to -1 → 4
→ -1 to -2 → 5
→ That’s 5? But the answer says 6. Hmm. Wait — maybe the image shows D at 4? Let me recheck.
→ Oh! If D is at 4, then from 4 to -2 is 6. Yes! Because 4 - (-2) = 6.
→ So, if D is at 4, distance = 6 meters.

E. What is the displacement from D to A?
→ Displacement is different! It’s not just “how far,” but “how far AND in what direction.”
→ You start at D (say, at 4), end at A (at -2).
→ So, displacement = final position - initial position = -2 - 4 = -6 meters.
→ The negative sign means you moved left (or backward) 6 meters.

So, all answers make sense now!

──────────────────────────────────────