A fireworks show is choreographed to have two shells cross paths at a height of 121 feet and explode at an apex of 160 feet under normal weather conditions. If the shells have a launch angle 0 = 53° above the horizontal, determine the common launch speed vo for the shells, the separation distance d between the launch points A and B, and the time t from launch at which the shells explode.

A fireworks show is choreographed to have two shells cross paths at a height of 121 feet and explode at an apex of 160 feet under normal weather conditions. If the shells have a launch angle 0 = 53° above the horizontal, determine the common launch speed vo for the shells, the separation distance d between the launch points A and B, and the time t from launch at which the shells explode.

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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Concept explainers

Fire safety

Fire safety is a new domain emerged in the early 90s to enable the design of buildings, structures, and infrastructure against destruction through fire. It also includes the provisions of building codes. This field is mostly associated with the design and efficient planning of a building, to reduce the destruction caused by fire. The branch of engineering that deals with it for the safety of the buildings from destruction of fire, is known as fire safety engineering.

Question

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A fireworks show is choreographed to have two shells cross paths at a height of 121 feet and explode at an apex of 160 feet
under normal weather conditions. If the shells have a launch angle 0 = 53° above the horizontal, determine the common
launch speed vo for the shells, the separation distance d between the launch points A and B, and the time t from launch at
which the shells explode.
39'
121'
Answers:
Vo =
d =
t =
i
i
T
VO
A/0
ft/sec
ft
-d-
sec
%
B

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Step 1: GIVEN VALUES IN PROBLEM

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Step 2: LAUNCH SPEED

VIEW

Step 3: TIME AT WHICH SHELL EXPLODE

VIEW

Step 4: DISTANCE BETWEEN LAUNCH POINTS

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