An artillery shell is fired with a minimal velocity of 400 m/s at 54 deg above the horizontal. To clear an avalanche, it explodes on a mountain side 40 s after firing.

Question

What is the X-coordinate relative to it's firing point? What is the Y-coordinate?

Answer 1

What do you mean by minimal velocity?

Is 400 m/s the initial velocity or not?

If it is, 400 cos54 = 235.1 m/s is the horizontal V component, which remains constant. The X coordinate of the impact point is therefore 235.1x40 = 9405 m.

For the Y coordinate, solve

Y = 400 sin54 *t - (g/2) t^2

with t = 40 s.