Asailboat starts from rest and accelerates at a rate of 0.21 m/s^2 over a distance of 280 m. find the magnitude of the boat's final velocity. find the time it takes the boat to travel this distance.

We use the kinematic equations,

                                         (A)

                 (B)

Here, u is initial velocity, v is final velocity, a is acceleration and t is time.

Given,  , and .

Substituting these values in equation (B), we get

.

Therefore from equation (A),

Thus, the magnitude of the boat's final velocity is 10.84 m/s and the time taken by boat to travel the distance 280 m is 51.63 s