The body moves according to the law S (t) = 3t + t2. Determine at what point in time the speed will be 15 m / s.
| June 1, 2021 | education
Velocity is the first derivative of the path, So, first we need to get the velocity formula from the path formula:
V = S` (t) = (3t + t ^ 2) `= 3 + t.
Now, in the resulting formula, replace the speed with 15 (by condition) and find the time:
15 = 3 + t
t = 15 – 3 = 12.
Answer: 12
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