Acceleration function is , and .

(a)

Velocity function is integral of acceleration function.

.

.

Initial velocity of the particle ,.

Substitute in velocity function.

.

Velocity function of the particle is m/sec.

(b)

Distance traveled by the particle during time period and , when ,

.

Distance traveled by the particle during time period and sec :

Distance traveled by the particle during time period and sec is meters.

(a) Velocity function of the particle is m/sec.

(b)  Distance traveled by the particle during time period and sec is meters.