Answer :
Final answer:
The average velocity of a particle moving according to the equation x = 10 + 2t from 2.00 s to 3.00 s is 2m/s. Additionally, the average velocity from 2.00 s to 2.10 s is also 2m/s.
Explanation:
Given the equation for the particle's motion, x = 10 + 2t, we can find the average velocity using the formula: Ux, avg = Δx / Δt. Let's create a table with the given time values (t=2.00s, 2.10s, and 3.00s).
Let's evaluate the corresponding x values:
For t=2.00s, x = 10 + 2*2 = 14 m.
For t = 2.10s, x = 10 + 2*2.10 = 14.20 m.
For t = 3.00s, x = 10 + 2*3 = 16 m.
(a) Now compute the average velocity for the time interval from 2.00 s to 3.00 s.
Ux, avg = (16 - 14) / (3.00 - 2.00) = 2m/s.
(b) Now compute the average velocity for the time interval from 2.00 s to 2.10 s.
Ux, avg = (14.20 - 14) / (2.10 - 2.00) = 2m/s.
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