2. A snail is traveling along a straight path. The snail's velocity can be modeled by...

   

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2. A snail is traveling along a straight path. The snail's velocity can be modeled by v(t) = 1.4 ln (1 + r²) inches per minute for 0 St≤ 15 minutes. (a) Find the acceleration of the snail at time r = 5 minutes. (b) What is the displacement of the snail over the interval 0 ≤ t ≤ 15 minutes? (c) At what time interval 0 ≤ 1, 0≤ 1 ≤ 15, is the snail's instantaneous velocity equal to its average velocity over the ≤ 15 ? (d) An ant arrives at the snail's starting position at time = 12 minutes and follows the snail's path. During the interval 12 St≤ 15 minutes, the ant travels in the same direction as the snail with a constant acceleration of 2 inches per minute per minute. The ant catches up to the snail at time t = 15 minutes. The ant's velocity at time t = 12 is B inches per minute. Find the value of B. 2. A snail is traveling along a straight path. The snail's velocity can be modeled by v(t) = 1.4 ln (1 + r²) inches per minute for 0 St≤ 15 minutes. (a) Find the acceleration of the snail at time r = 5 minutes. (b) What is the displacement of the snail over the interval 0 ≤ t ≤ 15 minutes? (c) At what time interval 0 ≤ 1, 0≤ 1 ≤ 15, is the snail's instantaneous velocity equal to its average velocity over the ≤ 15 ? (d) An ant arrives at the snail's starting position at time = 12 minutes and follows the snail's path. During the interval 12 St≤ 15 minutes, the ant travels in the same direction as the snail with a constant acceleration of 2 inches per minute per minute. The ant catches up to the snail at time t = 15 minutes. The ant's velocity at time t = 12 is B inches per minute. Find the value of B.