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Step 1

Given:

The path of the turtle is 50 cm+3 cm/st-0.06 cm/s2t2.

Step 2

Introduction:

The average velocity of the turtle depends on the displacement of the turtle and the time taken to cover that displacement.

Step 3

a.

Write the expression for the distance.

xt=50 cm+3 cm/st-0.06 cm/s2t2

Here, x is the distance and t is the time.

Substitute 3 s for t in the above expression.

x3=50 cm+3 cm/s3-0.06 cm/s232=50+9-0.54 cm=58.46 cm

Thus, the distance at the time 3 s is 58.46 cm.

 

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