Given Information:
Initial speed = u = 3.21 yards/s
Acceleration = α = 1.71 yards/s²
Final speed = v = 7.54 yards/s
Required Information:
Distance = s = ?
Answer:
Distance = s = 13.61
Explanation:
We are given the speeds and acceleration of the runner and we want to find out how much distance he covered before being tackled.
We know from the equations of motion,
v² = u² + 2αs
Where u is the initial speed of the runner, v is the final speed of the runner, α is the acceleration of the runner and s is the distance traveled by the runner.
Re-arranging the above equation for distance yields,
2αs = v² - u²
s = (v² - u²)/2α
s = (7.54² - 3.21²)/2×1.71
s = 46.55/3.42
s = 13.61 yards
Therefore, the runner traveled a distance of 13.61 yards before being tackled.
Sound—energy<span> we can hear—travels only so far before it soaks away into the world around us. Until electrical </span>microphones<span>were invented in the late 19th century, there was no satisfactory way to send </span>sounds<span> to other places. You could shout, but that carried your words only a little further. You couldn't shout in New York City and make yourself heard in London. And you couldn't speak in 1715 and have someone listen to what you said a hundred years later! Remarkably, such things are possible today: by converting sound energy into electricity and information we can store, microphones make it possible to send the sounds of our voices, our music, and the noises in our world to other places and other times. How do microphones work? Let's take a closer look!</span>
Answer: 3 m/s
Explanation:
Mass of object = 4kg
Velocity = ?
Kinetic energy = 18J
Recall that kinetic energy is the energy possessed by a moving object, and it depends on its mass M and velocity, V
Thus, Kinetic energy = 1/2 x mv^2
18J = 1/2 x 4kg x v^2
18J = 0.5 x 4kg x v^2
18J = 2kg x v^2
v^2 = 18/2
v^2 = 9
v = √9 (square root of 9)
v = 3 m/s
Thus, the velocity is 3m/s
Momentum is the product of mass x velocity.
p = mv
Where: p = momentum
m = mass
v = velocity
Now you can answer your question by finding the momentum of each:
p = mv
p(w) = 12 x 5 = 60
p(x) = 15 x 8 = 120
p(y) = 18 x 2 = 36
p(z) = 28 x 10 = 280
With that you can now arrange them in ascending order (least to greatest):
Y < W < X < Z
Your answer is D.
Answer:
From the given choices, the healthy snack that can provide protein after physical activity is the third option, yogurt. Yogurts are derived from fermentation of raw materials by the healthy bacteria, usually of lactobacillus origin. Other items in the choices are not able to provide protein.
Explanation: