A fireworks show is choreographed to have two shells cross paths at a height of 133 feet and explode at an apex of 180 feet under normal weather conditions. The shells have a launch angle 0 = 66° above the horizontal. If a strong wind induces a constant rightward acceleration of 16 ft/sec² for the fireworks shells, determine the horizontal shift Ax of the crossing point of the shells. 47' 133' VO A 0 Answer: Ax= i ft 00 0 B

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A fireworks show is choreographed to have two shells cross paths at a height of 133 feet and explode at an apex of 180 feet under
normal weather conditions. The shells have a launch angle 0 = 66° above the horizontal. If a strong wind induces a constant rightward
acceleration of 16 ft/sec² for the fireworks shells, determine the horizontal shift Ax of the crossing point of the shells.
47'
133'
VO
A 0
Answer: Ax= i
ft
00
0
B
Transcribed Image Text:A fireworks show is choreographed to have two shells cross paths at a height of 133 feet and explode at an apex of 180 feet under normal weather conditions. The shells have a launch angle 0 = 66° above the horizontal. If a strong wind induces a constant rightward acceleration of 16 ft/sec² for the fireworks shells, determine the horizontal shift Ax of the crossing point of the shells. 47' 133' VO A 0 Answer: Ax= i ft 00 0 B
C
Given that,
To
To
Homax= 180 Ft
66°
32 ft/s²
g=
Find the
The
Honax:
!!
· y =
y =
180=
2
2
Vo sin²o
29
2
v²
vo
initial velocity
find the horizontal
x =
2
vo² sin (66)
2x 32
=
x tano
= 117.5 ft/s
Y = 133
133 = x. (2.246)
13803.6
x. tan 66 - 32x²
133= 2.246x -
64.5 ft
shift
2 Vocos²0
2 (117.5)² (03² (66)
२
Required shifting
right.
Ax of
32 x
11 231
Δχ Ξ
2
2
0.002849x
69.5 Ft
Crossing point,
from the
Transcribed Image Text:C Given that, To To Homax= 180 Ft 66° 32 ft/s² g= Find the The Honax: !! · y = y = 180= 2 2 Vo sin²o 29 2 v² vo initial velocity find the horizontal x = 2 vo² sin (66) 2x 32 = x tano = 117.5 ft/s Y = 133 133 = x. (2.246) 13803.6 x. tan 66 - 32x² 133= 2.246x - 64.5 ft shift 2 Vocos²0 2 (117.5)² (03² (66) २ Required shifting right. Ax of 32 x 11 231 Δχ Ξ 2 2 0.002849x 69.5 Ft Crossing point, from the
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