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IgorC [24]
3 years ago
12

NEED HELP FOR MATH PLZZ

Mathematics
1 answer:
anzhelika [568]3 years ago
4 0

Answer:

a

Step-by-step explanation:

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A particle is projected with a velocity of <img src="https://tex.z-dn.net/?f=40ms%5E-%5E1" id="TexFormula1" title="40ms^-^1" alt
Katena32 [7]

Answer:

2\sqrt{55}\text{ m/s or }\approx 14.8\text{m/s}

Step-by-step explanation:

The vertical component of the initial launch can be found using basic trigonometry. In any right triangle, the sine of an angle is equal to its opposite side divided by the hypotenuse. Let the vertical component at launch be y. The magnitude of 40\text{ m/s} will be the hypotenuse, and the relevant angle is the angle to the horizontal at launch. Since we're given that the angle of elevation is 60^{\circ}, we have:

\sin 60^{\circ}=\frac{y}{40},\\y=40\sin 60^{\circ},\\y=20\sqrt{3}(Recall that \sin 60^{\circ}=\frac{\sqrt{3}}{2})

Now that we've found the vertical component of the velocity and launch, we can use kinematics equation v_f^2=v_i^2+2a\Delta y to solve this problem, where v_f/v_i is final and initial velocity, respectively, a is acceleration, and \Delta y is distance travelled. The only acceleration is acceleration due to gravity, which is approximately 9.8\:\mathrm{m/s^2}. However, since the projectile is moving up and gravity is pulling down, acceleration should be negative, represent the direction of the acceleration.

What we know:

  • v_i=20\sqrt{3}\text{ m/s}
  • a=-9.8\:\mathrm{m/s^2}
  • \Delta y =50\text{ m}

Solving for v_f:

v_f^2=(20\sqrt{3})^2+2(-9.8)(50),\\v_f^2=1200-980,\\v_f^2=220,\\v_f=\sqrt{220}=\boxed{2\sqrt{55}\text{ m/s}}

3 0
3 years ago
Unit 10 | Lesson 5 Lesson Checkpoint: Show What You Know Question Navigator Choose the answer. 2. (1 pt) Which answer is the mos
WARRIOR [948]
The answer is B.about 400, because if you multiply 18 by 24 you get the answer without rounding, and that answer would be 434; once 434 is rounded to the closest possible answer, you get that the answer, which is, as stated before, B. about 400.
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3 years ago
Which number makes this sentence true? 7.8×3.6×1=7.8×? 1,3.6,4.6,7.8
marin [14]

In the left hand side, you're multiplying 7.8 by 3.6\times 1

In the right hand side, you're multiplying again 7.8 by a mysterious number.

So, the unknown number must be 3.6\times 1

Every number remains unchanged when multiplied by 1, so the answer is 3.6


5 0
3 years ago
Question 4
alina1380 [7]
For question 4 the answer is yes and for question 5 the answer is false
6 0
3 years ago
The gas tank of Tyrell's truck holds 19.8 gallons. When the tank is empty, tyrell fills it with gas that costs 3.65 per gallon.
Dima020 [189]
3.65x19.8=$72.07 hit that thanks button and 5 star rating plz thankyou!!!!
7 0
3 years ago
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