Mathematics: The product of y and 9

The product of y and 9 - id97836683, theylovelillexx2258

Itselliekojo2218

12.11.2021

B=22.348 Inches per minutes

Step-by-step explanation:

A snail is traveling along a straight path. The snail’s velocity can be modeled by v(t)=1.4ln(1+t^2) inches per minute for 0 ≤ t ≤ 15 minutes.

If the snail's velocity is v(t)=1.4ln(1+t^2) per minute, its displacement for 0 ≤ t ≤ 15 minutes is given by the integral:

$\int_{0}^{15}1.4ln(1+t^2)dt=76.04307$

The ant travels with a constant acceleration of 2 Inches per minute.

Therefore, the velocity of the ant will be:

$\int 2 dt=2t+c,$ inches per minutes, for some constant c.

For the interval, 12≤t≤15, the displacement of the ant is:

$\int_{12}^{15}(2t+c)dt=t^2+ct|_{12}^{15}=81+3c$

Since the snails displacement and that of the ant are equal in 12≤t≤15.

81+3c=76.04307

3c=76.04307-81

3c=-4.95693

c=-1.65231

The velocity of the ant at t=12 is therefore:

2t+c=2(12)-1.65231=22.348 Inches per minutes

B=22.348 Inches per minutes

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