You will be left with 106 kids
<h3>Meaning of word problem</h3>
A word problem can be defined as a mathematical problem that is written in word or written in a sentence format.
In a word problem, the student is expected to decode the sentence into a mathematical expression before solving
In conclusion, You will be left with 106 kids
Learn more about word problems: brainly.com/question/13818690
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Answer:
The actual angle is 30°
Explanation:
<h2>Equation of projectile:</h2><h2>y axis:</h2>
![v_y(t)=vo*sin(A)-g*t](https://tex.z-dn.net/?f=v_y%28t%29%3Dvo%2Asin%28A%29-g%2At)
the velocity is Zero when the projectile reach in the maximum altitude:
![0=vo-gt\\t=\frac{vo}{g}](https://tex.z-dn.net/?f=0%3Dvo-gt%5C%5Ct%3D%5Cfrac%7Bvo%7D%7Bg%7D)
When the time is vo/g the projectile are in the middle of the range.
<h2>x axis:</h2>
![d_x(t)=vo*cos(A)*t\\](https://tex.z-dn.net/?f=d_x%28t%29%3Dvo%2Acos%28A%29%2At%5C%5C)
R=Range
![R=d_x(t=2*\frac{vo}{g})](https://tex.z-dn.net/?f=R%3Dd_x%28t%3D2%2A%5Cfrac%7Bvo%7D%7Bg%7D%29)
![R=vo*cos(A)*2\frac{vo}{g} \\\\R=\frac{(vo)^{2}*2* sin(A)cos(A)}{g} \\\\R=\frac{(vo)^{2} sin(2A)}{g}](https://tex.z-dn.net/?f=R%3Dvo%2Acos%28A%29%2A2%5Cfrac%7Bvo%7D%7Bg%7D%20%5C%5C%5C%5CR%3D%5Cfrac%7B%28vo%29%5E%7B2%7D%2A2%2A%20sin%28A%29cos%28A%29%7D%7Bg%7D%20%5C%5C%5C%5CR%3D%5Cfrac%7B%28vo%29%5E%7B2%7D%20sin%282A%29%7D%7Bg%7D)
**sin(2A)=2sin(A)cos(A)
<h2>The maximum range occurs when A=45°
(because sin(90°)=1)</h2><h2>The actual range R'=(2/√3)R:</h2>
Let B the actual angle of projectile
![\frac{vo^{2} }{g} =(\frac{2}{\sqrt{3} }) \frac{vo^{2} *sin(2B)}{g}\\\\1= \frac{2 }{\sqrt{3}} *sin(2B)\\\\sin(2B)=\frac{\sqrt{3}}{2}\\\\](https://tex.z-dn.net/?f=%5Cfrac%7Bvo%5E%7B2%7D%20%7D%7Bg%7D%20%3D%28%5Cfrac%7B2%7D%7B%5Csqrt%7B3%7D%20%7D%29%20%5Cfrac%7Bvo%5E%7B2%7D%20%2Asin%282B%29%7D%7Bg%7D%5C%5C%5C%5C1%3D%20%5Cfrac%7B2%20%7D%7B%5Csqrt%7B3%7D%7D%20%2Asin%282B%29%5C%5C%5C%5Csin%282B%29%3D%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%5C%5C%5C%5C)
2B=60°
B=30°
The acceleration of the car is solved by subtracting the initial speed from the final speed then dividing the result by the elapsed time.
initial speed = 72 km/hr = 20 m/s
final speed = 0 m/s
elapsed time = 5 seconds
acceleration = (0 m/s – 20 m/s) / 5 s
acceleration = - 20m/s / 5 s
acceleration = -4 m/s^2
Answer:
V initial = 29.4 m.s²
Explanation:
( Using the laws of motion)
V final = V initial + Acceleration × time
0 = V initial + ( -9.8)(3)
29.4 = V initial
* I took upward as positive that's why I substituted -9.8 *
* for V final we know that at maximum height the ball is not moving thats why is = 0 *
Answer:
= 5.1 W
Explanation:
time (t) = 30 ms = 0.03 s
mass (m) = 560 g = 0.56 kg
initial velocity (U) = 0 m/s
final velocity (V) = 0.74 m/s
power = \frac{work done}{t} = \frac{f x d}{t} = f x v = m x a x v
m x a x v = m x \frac{V-U}{t} x \frac{V + U}{2}
m x \frac{V-U}{t} x \frac{V + U}{2} = 0.56 x \frac{0.74 - 0}{0.03} x \frac{0.74+0}{2}
= 5.1 W