joselinegarciaowyrpf
17.12.2019 •
Mathematics
Yul and sarah's art clasd started at 11: 25 a.m. the class lasted 30minutes. yul left when the class was done. sarah stayed an extra 5 minutes to talk with the teacher and left.
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Ответ:
Ответ:
Ответ:
Step-by-step explanation:
A particle is moving with acceleration modeled by the function:
We are given that its position s(t) at t = 0 is 10 and that its velocity v(t) at t = 0 is 16.
And we want to find its position at t = 8.
Velocity is the integral of the acceleration. Hence:
Find the velocity. Remember the constant of integration!
Since v(t) is 16 when t = 0:
Hence, our velocity is given by:
Position is the integral of the velocity. Hence:
Integrate:
s(t) is 10 when t = 10. Hence:
So, our position function is:
The position at t = 8 will be: