A snail starts crawling across a sidewalk, trying to reach the other side which is 50 cm

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A snail starts crawling across a sidewalk, trying to reach the other side which is 50 cm away. The velocity of the snail t minutes after it starts is t cm/min.

The following describe the velocities of different animals. In each case,

a. Draw a graph of the velocity as a function of time.

b. Write a differential equation for the position.

c. Guess the solution of this equation.

d. Draw a graph of the position as a function of time.

e. How long will it take to reach its goal?

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