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.
A. I just took a quiz on it and A was my answer
Define an x-y coordinate system such that
The positive x-axis = the eastern direction, with unit vector
.
The positive y-axis = the northern direction, with unit vector
.
The airplane flies at 340 km/h at 12° east of north. Its velocity vector is
The wind blows at 40 km/h in the direction 34° south of east. Its velocity vector is
![\vec{v}_{2} =40(cos(34^{o})\hat{i} - sin(24^{o})]\hat{j}) = 33.1615\hat{i} -22.3677\hat{j})](https://tex.z-dn.net/?f=%5Cvec%7Bv%7D_%7B2%7D%20%3D40%28cos%2834%5E%7Bo%7D%29%5Chat%7Bi%7D%20-%20sin%2824%5E%7Bo%7D%29%5D%5Chat%7Bj%7D%29%20%3D%2033.1615%5Chat%7Bi%7D%20-22.3677%5Chat%7Bj%7D%29)
The plane's actual velocity is the vector sum of the two velocities. It is
The magnitude of the actual velocity is
v = √(121.1615² + 306.0473²) = 329.158 km/h
The angle that the velocity makes north of east is
tan⁻¹ (306.04733/121.1615) = 21.6°
Answer:
The actual velocity is 329.2 km/h at 21.6° north of east.
- Moon's Orbit <u>(C). Earth</u>
- Tides on Earth <u>(B). Moon</u>
- Earth's Orbit <u>(A). Sun</u>
<h3>Introduction</h3>
Hi ! I will help you to explain about gravity. Gravity is one part of the force that will pull two or more objects that interact with each other to the center of their weight. Because it is a force, and interacts with mass, the gravitational force can also cause an acceleration called gravitational acceleration.The characteristic of gravity are:
- Mass cannot be affected by gravitational acceleration, because mass itself has formed gravitational interactions.
- The weight of an object is something that can be affected by the acceleration of gravity, because weight is a derived quantity in Newtons (N)
- The lighter object will fall to the heavier object because the center of mass will be closer to the object with greater mass.
<h2>Explanation</h2>
Let's go into more detail about my answer!
<h3>Moon's Orbit</h3>
The moon undergoes two motions, orbiting the Earth and orbiting the sun together. So, here the gravitational force from the Earth can be said to have more effect on the Moon. Without the influence of Earth's gravity, the moon will orbit the sun itself by the interaction of its own gravitational force with the sun.
<h3>Tides on Earth</h3>
The tides are caused by the Moon's gravitational force. Remember ! The Earth's gravitational force always points downwards to make a constant (so that water does not spill when it is hit by the Moon's gravity). The Moon's gravitational force also depends on how close it is to Earth.
<h3>Earth's Orbit</h3>
Like the Moon, the Earth orbits the sun. However, the sun is now creating a gravitational field. Not only for Earth, but for all objects in the solar system.
<h3>See More</h3>
Answer:
5.2Kg
Explanation:
mass=weight/gravitational pull
m=52/10
m=5.2kg
