You can write the equations of motion as
h(t) = -16t² + v₀sin(θ)t
d(t) = v₀cos(θ)t
Solving the second of these for t and substituting into the first equation gives the time of flight as
0 = -16t² + d(t)·tan(θ)
t = √(d(t)·tan(θ)/16)
So, for d(t) = 400 and θ = π/6, this becomes
t = √((400/16)/√3)
t = 5/√(√3) ≈ 3.79918
The ball is in the air about 3.80 seconds.
1.6 -1.6 +1.6 is the following
Answer:
This is really simple, here i'll explain:
Step-by-step explanation:
41.2 x 1.5=
count how many spaces are after the decimal point.
for example, 41.2 has 1 space after the decimal point. The decimal 1.5 also has 1 space after the decimal point. So if you add the spaces it would be 2 because 1 + 1 = 2
After that, take away the decimal point, and just multiply like you normally would.
412 times 15
this would be 6180
after you do the multiplication, you will add the decimal point.
The decimal point will go in between 1 and 8 because there were 2 spaces after the decimal point in the numbers, and if you add them it would be 2 spaces.
Hope this helps!
The equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12) is y = -5x + 1
<h3>Equation of a line</h3>
A line is the distance between two points
Given the equation of a line expressed as 10x + 2y = -2. Determine the slope
2y = -10x -2
y = -5x - 1
Slope of the line is -5
The equation of a line in point-slope form is y - y1 = m(x-x1)
Substitute the point and the slope of the parallel line
y - 12 = -5(x - 0)
y - 12 = -5x
y = -5x + 12
Hence the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12) is y = -5x + 12
Learn more on equation of a line here: brainly.com/question/13763238
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Think of sea level as 0 on number line
-13 + 6 - 15