Asked by Christian
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.
What is the X-coordinate relative to it's firing point? What is the Y-coordinate?
What is the X-coordinate relative to it's firing point? What is the Y-coordinate?
Answers
Answered by
drwls
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.
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.
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