<p>Just some questions in calc-based physics. Thanks in advance.</p>
<p>1) A 25 kg child is in a 10 kg sled that travels 1 m/s east on ice. The child throws a 3 kg snowball at 40 m/s at an angle of 50 degrees north of east. Find the velocity of the sled after the snowball leaves the childs hand.</p>
<p>2) Cube B is at rest on the edge of a frictionless horizontal table that is 5 m above the ground. It has a mass of 5 kg. Cube A, with a mass of 20 kg travels towards it at 20 m/s. The two cubes collide and the force that cube A exerts on B during the collision is given by F(t)=3x10^6t-2x10^8t^2 i (N). The collision lasts 10 milliseconds.</p>
<p>a) Find the velocity of cube B immediately after the collision
b) Find the velocity of cube A immediately after the collision
c) Find the coefficient of restitution for the collision
d) Find the speed with which each cube hits the ground</p>