A soldier fires a round from a grenade launcher as his Humvee is moving up a 12° incline at VH = 31 m/s. He notes that at the moment he pulls the trigger, the vehicle has traveled d= 700 m from the base of the hill, and that his launcher is approximately 5 ft off the ground. The muzzle velocity of a grenade round is approximately v, = 80 m/s. (figure not to scale) (a) Write equations of motion for the grenade (you should have two; one for x-position and one for y-position). Use a fixed frame of reference, with the origin located at the grenade's position at the moment it leaves the launcher. Your equations should be in terms of t and the launcher angle 82. (Hint: you will not need the launcher height or vehicle distance for this part.) d = 700 m 9,= 12°

A soldier fires a round from a grenade launcher as his Humvee is moving up a 12° incline at VH = 31 m/s. He notes that at the moment he pulls the trigger, the vehicle has traveled d= 700 m from the base of the hill, and that his launcher is approximately 5 ft off the ground. The muzzle velocity of a grenade round is approximately v, = 80 m/s. (figure not to scale) (a) Write equations of motion for the grenade (you should have two; one for x-position and one for y-position). Use a fixed frame of reference, with the origin located at the grenade's position at the moment it leaves the launcher. Your equations should be in terms of t and the launcher angle 82. (Hint: you will not need the launcher height or vehicle distance for this part.) d = 700 m 9,= 12°

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

A soldier fires a round from a grenade launcher as his Humvee is moving up a 12° incline at VH
= 31 m/s. He notes that at the moment he pulls the trigger, the vehicle has traveled d= 700 m
from the base of the hill, and that his launcher is approximately 5 ft off the ground. The muzzle
velocity of a grenade round is approximately v, = 80 m/s. (figure not to scale)
(a) Write equations of motion for the grenade (you should have two; one for x-position and
one for y-position). Use a fixed frame of reference, with the origin located at the
grenade's position at the moment it leaves the launcher. Your equations should be in
terms of t and the launcher angle 02. (Hint: you will not need the launcher height or
vehicle distance for this part.)
d = 700 m
9,= 12°
VH

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