# Problem: A cannon tilted up at a 26° angle fires a cannonball at 71m/s from atop a 12m -high fortress wall.What is the ball's impact speed on the ground below?

###### FREE Expert Solution

Uniform accelerated motion (UAM) equations:

Velocity components:

Vector magnitude:

$\overline{)\mathbf{|}\stackrel{\mathbf{⇀}}{\mathbf{v}}\mathbf{|}{\mathbf{=}}\sqrt{{{\mathbf{v}}_{\mathbf{x}}}^{\mathbf{2}}\mathbf{+}{{\mathbf{v}}_{\mathbf{y}}}^{\mathbf{2}}}}$

Let the y-axis point vertically and the x-axis horizontally with the origin located at the base of the fortress:

• vf,y = ?
• Δy = yf - y0 = 0 - 12 = - 12 m
• yf = 0 m
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###### Problem Details

A cannon tilted up at a 26° angle fires a cannonball at 71m/s from atop a 12m -high fortress wall.

What is the ball's impact speed on the ground below?