The material point moves according to the law S (t) = 4t-1 / t + 1. Find its speed at time t = 2s.
| July 5, 2021 | education
Given:
S (t) = 4t – 1 / t + 1;
t = 2s.
Find – V.
Decision:
we write down the law of speed change:
V (t) = S ‘(t);
V (t) = 4 + 1 / t ^ 2 + 0 = 4 + 1 / t ^ 2.
Substitute the numerical values and find the speed at the time when t = 2s:
V (2) = 4 + 1/2 ^ 2 = 4 + 1/4 = 4 + 0.25 = 4.25 (m / s).
Answer: V = 4.25 m / s.
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