An artillery shell is fired with an initial velocity of 300 m/s at 65.0° above the horizontal. To clear an avalanche, it explodes on a mountainside 37.5 s after firing. What are the x and y components of the shell where it explodes, relative to its firing point?

x = __________m
y = __________m

1 answer

a = V / t,
a = 300 / 37.5 = 8 m/s^2.

d = Vo*t + 0.5at^2,
d = 300 * 37.5 + 0.5 * 8 * (37.5)^2,
= 11250 + 5625 = 16875 m @ 65 deg.

X = hor = 16875 * cos65 = 7132 m.

Y = ver = 16875 * sin65 = 15294 m.