Question

A boat is moving at 3 m/s and increases its speed at 2 m/s2. How fast is it moving after it travels 10 m from the point it begins to speed up?

Answer 1

The boat is moving by uniformly accelerated motion, with initial speed

`v_i = 3 m/s`
constant acceleration of

`a=2 m/s^2`
and it covers a distance of

`S=10 m`

So we can use the following relationship to find the final speed,
`v_f`:

`v_f^2 - v_i^2 = 2aS`

`v_f = √(v_i^2 + 2aS)= √((3 m/s)^2 +2(2 m/s^2)(10 m)) = 7m/s`