Problem #$4$

A $200kg$ buffalo running north with a speed of $20\mathrm{.}0\frac{m}{s}$ collides with a $120\mathrm{.}0kg$ lion running east at

$40\mathrm{.}0\frac{m}{s}.$ The two animals stick together after the collision.

a$)$ Provide a drawing and the conservation of momentum equation.

b$)$ Find the speed of the two animals after the collision.

c$)$ Find their direction after the collision.