The acceleration of the snail will be 7/13 m/sec². The acceleration is found as the rate of change of the velocity.
The rate of change of velocity with respect to time is known as acceleration. According to Newton's second law, the eventual effect of all forces applied to a body is its acceleration.
The given data in the problem is;
v(t)=1.4ln(1’t²) inches per minute
0<t<15 minute
Acceleration is found as;
[tex]\rm v('t)=1.4 \times \frac{1}{1+t^2} (2t)[/tex]
Acceleration at t= 5 minute;
[tex]\rm v'(5)=\frac{1.4(2)(5)}{1+5^2} =\frac{14}{26} \\\\ v'=\frac{7}{13}[/tex]
Hence, the acceleration of the snail will be 7/13 inch per square minute.
To learn more about acceleration, refer to the link;
https://brainly.com/question/2437624
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