  We study ample vector bundles on smooth projective stacks. In particular, we
prove that the tangent bundle for the weighted projective stack
$\mathbb{P}(a_0,...,a_n)$ is ample. A result of Mori shows that the only smooth
projective varieties with ample vector bundle are isomorphic to $\mathbb{P}^N$
for some $N$. Extending our geometric spaces from varieties to projective
stacks, we are able to provide a new example. This leaves the open question of
knowing if the only smooth projective stacks are the weighted projective
stacks.
