Hello, holly123!

Sorry, both your answers are wrong.

A particle moves with acceleration: along the s-axis

. . and has velocity when

Find the displacement and distance traveled during the interval

We have: .

Integrate: .

When

. . Hence: .

Integrate: .

When

When

At the beginning of the interval, the particle is at

At the end of the interval, the particle isstillat

. .

Set the velocity equal to zero: .

This is when the particle stops and changes direction.

When

When

On the interval , it moved: .

. . It moved units to theleft.

When

When

On the interval , it moved: .

. . It moved units to theright.

Its total distance traveled is: . units.