What is the third most abundant gas in the atmosphere.

The free throw line in basketball is 4.570 m (15 ft) from the basket, which is 3.050 m (10 ft) above the floor. A player standin

Debora [2.8K]

Answer:

$\theta = 86.491^{\textdegree}$

Explanation:

The equations for the horizontal and vertical position of the ball are, respectivelly:

$4.570\,m = [(7.157\,\frac{m}{s})\cdot\cos \theta]\cdot t\\3.050\,m = 2.440\,m +[(7.157\,\frac{m}{s})\cdot \sin \theta]\cdot t - \frac{1}{2}\cdot (9.807\,\frac{m}{s^{2}} )\cdot t^{2}$

By isolating each trigonometric component and summing each equation:

$20.885\,m^{2} = [51.223\,\frac{m^{2}}{s^{2}}\cdot \cos^{2} \theta]\cdot t^{2}$

$[0.61\,m + \frac{1}{2}\cdot (9.807\,\frac{m}{s^{2}} )\cdot t^{2}]^{2} = [51.223\,\frac{m^{2}}{s^{2}}\cdot \sin^{2} \theta]\cdot t^{2}$

$21.257\,m^{2} + (5.982\,\frac{m^{2}}{s^{2}})\cdot t^{2}+(24.044\,\frac{m^{2}}{s^{4}} )\cdot t^{4} = (2623.796\,\frac{m^{2}}{s^{2}})\cdot t^{2}$

$21.257\,m^{2} - (2617.814\,\frac{m^{2}}{s^{2}})\cdot t^{2}+(24.044\,\frac{m^{2}}{s^{4}} )\cdot t^{4} = 0$

The positive real roots are:

$t_{1} = 10.434\,s,t_{2} = 0.09\,s$

The needed angle is:

$\theta = \cos^{-1} [\frac{4.570\,m}{(7.157\,\frac{m}{s} )\cdot t} ]\\\theta_{1} = 86.491^{\textdegree}\\\theta_{2} = NaN$

8 0

4 years ago

Imagine the door to a theatre is opened and you are standing outside. How is it possible that you can hear the sound of the movi

Sidana [21]

"The sound waves diffract much more than the light waves so try bend and spread as they move through the doorway" and this is why it is possible that you can hear the sound of the movie or play even if you cannot see the screen or stage. The correct option among all the options given in the question is option "D".

4 0

3 years ago

Read 2 more answers

PLS HELP ME I'LL GIVE BRAINLIEST

Mnenie [13.5K]

Answer:

equal to

i hope this helps

4 0

3 years ago

how many years would it take to reach the star from earth, as measured by observers on the spacecraft

Assoli18 [71]

In other words, it would take Deep Space 1 more than 81,000 years to travel the 4.24 light-years between Earth and Proxima Centauri at its top speed of 56,000 km/h. In relation to human history, that would be more than 2,700 generations.

Nearly 40 trillion kilometers, or 4.4 light-years, separate us from Alpha Centauri. The NASA-Germany Helios probes, the fastest spacecraft to date to be launched into orbit, flew at a speed of 250,000 kilometers per hour. The probes would need 18,000 years to travel at such pace to arrive at the sun's nearest neighbor. The calculations reveal that it is almost impossible to reach the nearest star in a human lifetime, even with the most futuristic technologies.

Learn more about Light year here-

brainly.com/question/1302132

#SPJ4

3 0

2 years ago

Only answer if you know all of them

lesya692 [45]

1)
The connections between neurons in the retina, specifically the connections referred to as “lateral inhibition,” help us see which of the following better?

A) Contrast
B) Faces
C) Colors

2)
Improving the contrast of an image (making the dark regions darker and the light regions lighter) helps us to identify:

A) The edges of objects
B) The center of objects
C) The color of an object

3)
What assumption does our visual system make in order to see curved surfaces (domes, holes)?

A) Light comes from above
B) Curved surfaces are always evenly lit
C) Curved surfaces are always easy to see, no assumptions are made

4)
Which part of the face does our brain pay the most attention to?

A) Eyes and mouth
B) Eyes and ears
C) Eyes and chin

5)
If all these assumptions sometimes lead to mistakes, for example in these optical illusions, why do we make them?

A) It helps us see things faster
B) It helps us see things correctly
C) It helps us pay attention to what's important
D) All of the above

Hope that helps :)
*the correct answers are bolded, italicized, and underlined.*

4 0

3 years ago