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question 2 (1 point) from the table, what will be the time when positio…

Question

question 2 (1 point)
from the table, what will be the time when position is 12m.
time position
0 -3
1 0
2 3
3 6
a 4 s
b 5 s
c 9 s
d 3 s

Explanation:

Step1: Observe the pattern

We can see that the position increases by 3m every 1 second. The initial position at time $t = 0$ is - 3m. The position $x$ and time $t$ relationship is $x=-3 + 3t$.

Step2: Solve for $t$ when $x = 12$

Set $x = 12$ in the equation $x=-3 + 3t$. Then $12=-3 + 3t$. Add 3 to both sides: $12 + 3=3t$, so $15 = 3t$. Divide both sides by 3: $t=\frac{15}{3}=5$.

Answer:

B. 5 s