If a projectile is shot at an angle of #pi/4# and at a velocity of #15 m/s#, when will it reach its maximum height??

1 Answer
Dec 28, 2015

Answer:

The projectile will reach its maximum height at 1.08 s

Explanation:

This is the classical parabolas motion problem.
Let's consider the equation of speed #v=v-at# for the vertical component.
When the projectile will reach its maximum the vertical component will be 0.
So #v-at=0# and #t=v/g#. Obviously we consider the vertical component of speed #v=vsin45°# and use this value in the last formula. We find #t=(vsin45°)/g=1.08s#.
That's all.