Nate throws a ball straight up to Kayla, who is standing on a balcony 3.8m above Nate. When she catches it, the ball is still moving forward at a speed of 2.8m/s. With what initial speed did Nate throw the ball?

Aspring is used to stop a 50-kg package which is moving down a 20º incline. the spring has a constant k = 30 kn/m and is held by cables so that it is initially compressed 50 mm. knowing that the velocity of the package is 2 m/s when it is 8 m from the spring and neglecting friction, determine the maximum additional deformation of the spring in bringing the package to rest.