2<br> X. - 144<br><br> (Type your answer in factor

A basketball tosses a ball to a teammate. The ball reaches a maximum height of 11 feet 3 seconds after it was released. If the b

labwork [276]

Answer:

h = - 16t² + 49.67t + 6

Step-by-step explanation:

The expression for the height of the basketball, h at time, t is given by

h - h₀ = u₀t - 1/2gt² where h₀ = initial height of ball = 6 feet, h = maximum height of ball = 11 feet, u₀ = initial vertical velocity of ball, t = time taken to reach maximum height = 3 s and g = acceleration due to gravity =9.8 m/s².

We need to find u₀ from u = u₀ -

So, h - h₀ = u₀t - 1/2gt²

h - h₀ + 1/2gt² = u₀t

u₀ = (h - h₀)/t + 1/2gt

substituting the values of the variables into the equation, we have

u₀ = (h - h₀)/t + 1/2gt

u₀ = (11 ft - 6 ft)/3s + 1/2 × 32 ft/s² × 3 s

u₀ = 5 ft/3s + 1/2 × 96 ft/s

u₀ = 1.67 ft/s + 48 ft/s

u₀ = 49.67 ft/s

Using h - h₀ = u₀t - 1/2gt² where h is the height of the basketball at time, t

h = u₀t - 1/2gt² + h₀

substituting the values of the variables into the equation, we have

h = u₀t - 1/2gt² + h₀

h = (49.67ft/s)t - 1/2(32 ft/s²)t² + 6 ft

h = 49.67t - 16t² + 6

h = - 16t² + 49.67t + 6

3 0

3 years ago

the ratio of the length of an arc of the circle to the circumference of the circle is 3:7, if the diameter of the circle is 14cm

konstantin123 [22]

The perimeter and area of this minor circle are equal to 32.857 units and 88.345 units² respectively.

<h3>How to calculate the perimeter of the minor circle?</h3>

First of all, we would determine the circumference of this circle by using this formula:

C = πD

C = 22/7 × 14

C = 44 units.

For the length of an arc of the circle:

Arc length/Circumference = 3/7

Arc length = 3/7 × C

Arc length = 3/7 × 44

Arc length = 18.857 units.

Now, we can calculate the perimeter:

Perimeter = 2r + arc length

Perimeter = 2(14/2) + 18.857

Perimeter = 14 + 18.857

Perimeter = 32.857 units.

<h3>The area of the minor circle.</h3>

Mathematically, the area of a minor circle is given by this formula:

Area = θr²/2

But, we would have to find the angle in radians:

18.857/32.857 = θ/360

θ = 3.6059 radians.

Substituting the given parameters into the formula, we have;

Area = (3.6059 × 7²)/2

Area = 88.345 units².

Read more on circumference here: brainly.com/question/14478195

#SPJ1

4 0

1 year ago

Solve for x in the following equation.

WARRIOR [948]

$\huge\text{Hey there!}$

$\mathsf{5^{x - 2} = 5^8}$

$\mathsf{5^{x - 2} = 5\times5\times5\times5\times5\times5\times5\times5}$

$\mathsf{5^{x - 2} = 25\times25\times25\times25}$

$\mathsf{5^{x - 2} = 625\times625}$

$\mathsf{5^{x - 2} =390,625}$

$\large\textsf{Solving for the exponent:}$

$\mathsf{5^{x - 2} =390,625}$

$\large\textsf{Take the log (logarithm) to both of the sides:}$

$\mathsf{log(5^{x - 2} \rightarrow log(390,625)}$

$\large\textsf{Simplify it:}$

$\mathsf{(x - 2) \times(log (5)) \rightarrow log(390,625)}$

$\large\textsf{Simplify that as well:}$

$\mathsf{x - 2 = \dfrac{log(390,625)}{log(5)}}$

$\large\textsf{You get it: }\mathsf{x - 2 = 8}$

$\large\textsf{ADD by 2 to BOTH of the SIDES:}$

$\mathsf{x - 2 + 2 = 8 + 2}$

$\large\textsf{Simplify it:}$

$\mathsf{x = 8 + 2}$

$\mathsf{x = 10}$

$\huge\textsf{Therefore, your answer should be:}$

$\huge\boxed{\mathsf{x =} \frak{10}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

5 0

1 year ago

Read 2 more answers

HELP PLEASE!!

Ostrovityanka [42]

Less would be the answer for both i think :P im late XD

5 0

3 years ago

A library is open til' 5:00 P.M. On Wednesdays, the library closes 2 hours early. How many hours for a month is the library open

svet-max [94.6K]

So
if you assume that the month has 30 days and that the library opens at midnight, then
24 hours in a day
5 pm=12+5=17 hours
on wednessday=17-2=15 hours
wednessday=1/7 of week
so we find 1/7 of 30 which is 30/7=4 and 2/7
then subtract that from 30
30-4 and 2/7=25 and 5/7

ok so then we have
25 and 5/7 days is 17 hours and
4 and 2/7 days is 15 hours
so just multipy them and add

25 and 5/7 times 17=437.143 hours
4 and 2/7 days times 15 =64.2857
add

437.143+64.2856=501.429
so aprox 501.429

the real equation is $[(\frac{1}{7})(n)(15)]+[ (\frac{6}{7}) (n)(17)]=hours$ where n represents the number of days in the month

apros 501.429

8 0

2 years ago

2 X. - 144 (Type your answer in factor