A rocket follows a path given by y=x−1/60 x3 ​(distances in​ miles). If the horizontal velocity is given by Vx=x, find the magnitude and direction of the velocity when the rocket hits the ground​ (assume level​ terrain) if time is in minutes. Find the magnitude of the velocity of the rocket at the point

The magnitude is approximately miles per minute.

​(Round the final answer to one decimal place as needed. Round all intermediate values to two decimal places as​ needed.)

The direction is approximately degrees
.
​(Type an integer or a decimal. Round the final answer to one decimal place as needed. Round all intermediate values to two decimal places as​ needed.)

Please write clearly, thank you so much.