write the formula to find maximum heigh
calculate you maximum height using this hight is 5 .56 High cms
Answers
Answer:
The Formula for Maximum Height
The maximum height of the object in projectile motion depends on the initial velocity, the launch angle and the acceleration due to gravity. Its unit of measurement is “meters”. So Maximum Height Formula is:
M
a
x
i
m
u
m
h
e
i
g
h
t
=
(
i
n
i
t
i
a
l
v
e
l
o
c
i
t
y
)
2
(
S
i
n
e
o
f
l
a
u
n
c
h
a
n
g
l
e
)
2
2
×
a
c
c
e
l
e
r
a
t
i
o
n
d
u
e
t
o
g
r
a
v
i
t
y
Mathematically:
H
=
(
v
0
)
2
s
i
n
2
θ
2
×
g
H is maximum height
v
0
is initial velocity per second
g is acceleration due to gravity, i.e.
(
9.80
m
s
−
2
)
θ
is the angle of the initial velocity from the horizontal plane (radians or degrees)
Solved Examples for Maximum Height Formula
Q.1: A firefighter plane aims a fire hose upward, toward a fire in a skyscraper. The water leaving the hose with a velocity of 32.0 m per second. If the firefighter holds the hose at an angle of
78.5
∘
Find out the maximum height of the water stream using maximum height formula.
Solution: The water droplets leaving the hose will be considered as the object in projectile motion. So its maximum height can be found using the said formula.
Now, given parameters are:
v
0
=
32
m
p
e
r
s
s
i
n
θ
=
s
i
n
78.5
∘
=
0.98
g
=
9.8
m
s
−
2
Thus,
H
=
(
v
0
)
2
s
i
n
2
θ
2
×
g
=
(
32
)
2
×
(
0.98
)
2
2
×
9.8
=
1024
×
0.9604
2
×
9.8
H
≃
50.2
m
Thus the maximum height of the water from the hose will be 50.2 m.
Step-by-step explanation:
Answer:
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Step-by-step explanation:
height of water will be 50.2 m.