Answer
You are correct.
Work Step by Step
The horizontal component of velocity remains constant, 10 m/s. The initial vertical velocity component was initially zero, and after one second, the vertical component is 10 m/s directed downward. Use the Pythagorean theorem to find the overall speed.
$$(10 \frac{m}{s})^{2}+(10 \frac{m}{s})^{2} =v^{2}$$
$$v=14.1 \frac{m}{s} $$
The ball is moving at an angle of 45° below the horizontal.
This is discussed on page 184.