Answer:
1.26m/s; 4.96m/s
Explanation
Acceleration is defined as the change I'm velocity of an object with respect to time.
Mathematically,
Acceleration (a) = change in velocity (v-u)/time (t)
Where v is the final velocity
u is the initial velocity
From the equation, it can be deduced that;
v = u+at
If the runner had an initial vertical velocity of -0.7 m/s over a period of 0.2seconds, its final velocity;
v = (-0.7)+9.81(0.2) (a=g=9.81m/s²)
v = -0.7+1.962
v = 1.26m/s
If the runner had an initial horizontal velocity of 3 m/s over a period of 0.2seconds, its final velocity;
v = 3+9.81(0.2)
v = 3+1.962
v = 4.96m/s
The answer depends on how you look at light. However, in the most accurate approach, gaps do not form between photons as light spreads out. Light is made up of tiny fundamental bits called photons. A photon is a quantum object. As such, a photon acts a little like a particle and a little like a wave, but is actually something more complex.
If you look at light as a collection of little particles, you could say that dimmer light has its photons more spread out. But, they are not spread out in space while traveling. Rather, they are spread out in time and space as they are received. A sufficiently sensitive photon counter device can detect the reception of light one photon at a time. Shine light at such a device and it does not receive the light as a steady stream. Rather, it receives the light as a series of discrete bundles of energy separated by gaps in time. Similarly, shine light at a sufficiently sensitive array of photon counters, and it receives the light at point locations with spatial gaps between them. When viewed in this way, a light beam always has gaps between its photons, whether the light be very bright or very dim. Very dim light beams have larger gaps in time and space between the reception of each photon compared to brighter light beams. Light from a very distant star has spread out over a very large area and become very dim in the process. The gaps between photon reception from a very distant, dim star are therefore large. Again, it is only the reception time and locations that has gaps. There are no gaps in space between the photons as they
Answer:
18 miles east; 24 mph east
Explanation:
In order to find how far east of Wilmington is the ship after 1 hour, we just need to substitute t = 1 into the formula of the position.
The equation of the position is
where t is the time. Substituting t = 1,
So, the ship is 18 miles east of Wilmington.
To find the velocity of the boat, we just need to calculate the derivative of the position, so
And by substituting t = 1, we find the velocity after 1 hour:
And the direction is east.
The correct answer is option 2. Systems, by
nature, tend to undergo changes toward higher entropy and lower energy since
this is the state where they are most stable. Entropy is the degree of
disorderliness of a substance. Systems tend to go to higher disorder since
systems always tend to change which can be linked to disorder and is
inevitable.