The height at t seconds after launch is
s(t) = - 16t² + V₀t
where V₀ = initial launch velocity.
Part a:
When s = 192 ft, and V₀ = 112 ft/s, then
-16t² + 112t = 192
16t² - 112t + 192 = 0
t² - 7t + 12 = 0
(t - 3)(t - 4) = 0
t = 3 s, or t = 4 s
The projectile reaches a height of 192 ft at 3 s on the way up, and at 4 s on the way down.
Part b:
When the projectile reaches the ground, s = 0.
Therefore
-16t² + 112t = 0
-16t(t - 7) = 0
t = 0 or t = 7 s
When t=0, the projectile is launched.
When t = 7 s, the projectile returns to the ground.
Answer: 7 s
Answer:
Step-by-step explanation:
Multiplication property
if x=y
then x*z=y*z
Answer: The answer is 1/3
<u>The correct answer is </u><u>8.5 in.</u>
<h3 /><h3>What is Heron's formula in math?</h3>
- Heron's formula, formula credited to Heron of Alexandria for finding the area of a triangle in terms of the lengths of its sides.
- In symbols, if a, b, and c are the lengths of the sides: Area = Square root of√s(s - a)(s - b)(s - c) where s is half the perimeter, or (a + b + c)/2.
we know that
The formula of area of triangle is equal to
We have
b = BC = 6 in
h = AD = x in
substitute
Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.
Let a,b,c be the lengths of the sides of a triangle.
The area is given by:-
where p is half the perimeter
a = 9 in , b= 9 in, c = 6 in
Find the area
Substitute the value of the area in the equation 1 and solve for x
25.46 = 3x
x = 25.46/3
x = 8.5 in
Learn more about Heron's Formula
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