G-10 2. To start an avalanche 100 m/s at 30.0° above relative to the firing poin
ID: 1881403 • Letter: G
Question
G-10 2. To start an avalanche 100 m/s at 30.0° above relative to the firing point is 125m n a mountain slope, an artillery shell is fired with an initial velocity of the horizontal. The y-coordinates of the shell where it explodes The (9 Points) (a) what is the ecoordinate of the shell where it explodes, relative to its Gring 30.0° e+ 100 m/s 2 Pina poins is125 (6 Points) (b) What is the velocity (Write the velocity in terms of unit vectors notation) and the speed of the shell just before it hits the mountainside?Explanation / Answer
Considering motion along vertical
y= u sin x* t-0.5*gt^2
125= 100sin 30*t-4.9t^2
Solving for t
t= 5.8236 s
Range of shell
R= 100* cos 30* 5.8236= 504.338 m
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b)
Vertical velocity
Vy= 100 sin 30-9.8* 5.8236= - 7.07 m/s
Horizontal velocity
Vx= 100 cos 30= 86.6 m/s
Net velocity in unit vector notation
V= 86.6 i - 7.07 j
Magnitude , V= 86.891 m/s
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Comment in case any doubt.. good luck
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