A projectile is shot from the ground at an angle of #pi/8 # and a speed of #5 /9 m/s#. Factoring in both horizontal and vertical movement, what will the projectile's distance from the starting point be when it reaches its maximum height?
We're asked to find the distance an object is from its launch point when it reaches its maximum height, given its initial velocity.
When the particle is at its maximum height, its instantaneous
to find the height
Plugging in known values (
We can find the horizontal distance covered by the equation
We found that
The distance found via