Please Read Question Below!

Question

To start an avalanche on a mountain slope, an artillery shell is fired with an initial velocity of 310 m/s at 58.0° above the horizontal. It explodes on the mountainside 41.0 s after firing. What are the x and y coordinates of the shell where it explodes, relative to its firing point?

x = _____m

y = _____m

Answer 1

x = 310cos(58°)t = 6735.3 m

y = gt²/2 + 310sin(58°)t = -9.8(41)²/2 + 10778.7 = 2541.8 m

Answer 2

Vx,i = Vi Cos (angle)

Vy,i=Vi Sin (angle)

X=Vx *Ti

Y= Vy * Ti + 1/2 G T^2

G= gravity = 9.81 Gravitational force is only in Y direction

T = time = 41 s

Vi= initial Velocity

Vx,i= 310 cos (58) = 164.27

Vy,i= 310 sin (58) = 262.89

X= 164.27 (41)= 6735.04

Y=262.89 (41) + 1/2 (9.81)(41)^2 = 19023.795