An artillery shell is fired with an initial velocity of 300 m/s at 55.0° above the horizontal. it explodes on a mountainside 42.0 s after firing. if x is horizontal and y vertical, find the (x, y) coordinates where the shell explodes.

x=7227

y=1678

(7227,1678)

Explanation:

Ok, check the picture I attached you, because of the problem don't give us aditional information, let's asume that the projectile is fired from an initial position x=0 and y=0. Now let's use projectile motion equations, but firs let's find the initial velocity components in x-axis and y-axis:

Now, let's find the x coordinate with this equation:

Finally asumming a gravity constant g=9.8, let's find the y coordinate with the next equation:

explanation: look here