Answer:
Your answer is A.) 5 Billion years...
Explanation:
Earth has been in it's current area for 4.54 billion years and 4.54 rounded out to a whole number is 5, so it's 5 billion years....
Hope this helps you!!
Answer:
![5.32\times 10^{-16} m](https://tex.z-dn.net/?f=5.32%5Ctimes%2010%5E%7B-16%7D%20m)
Explanation:
hence making time the subject then
![Time=\frac {Distance}{Speed}](https://tex.z-dn.net/?f=Time%3D%5Cfrac%20%7BDistance%7D%7BSpeed%7D)
Substituting 50 cm which is equivalent to 0.5 m for distance and velocity as given as
we obtain
![Time=\frac {0.5}{4.8*10^{7}}=1.04167\times 10^{-8} s](https://tex.z-dn.net/?f=Time%3D%5Cfrac%20%7B0.5%7D%7B4.8%2A10%5E%7B7%7D%7D%3D1.04167%5Ctimes%2010%5E%7B-8%7D%20s)
From kinematic equation
and taking g as 9.81 then
![s=(0*1.04167\times 10^{-8} s)+(0.5*9.81*(1.04167\times 10^{-8} s)^{2})=5.32227\times 10^{-16} m](https://tex.z-dn.net/?f=s%3D%280%2A1.04167%5Ctimes%2010%5E%7B-8%7D%20s%29%2B%280.5%2A9.81%2A%281.04167%5Ctimes%2010%5E%7B-8%7D%20s%29%5E%7B2%7D%29%3D5.32227%5Ctimes%2010%5E%7B-16%7D%20m)
![s\approx 5.32\times 10^{-16} m](https://tex.z-dn.net/?f=s%5Capprox%205.32%5Ctimes%2010%5E%7B-16%7D%20m)
Answer:
Angle with the +x axis is θ = 79.599degree
Then the velocity of owner = 1.235m/s
Explanation:
Given that the mass of dog is m1 =26.2 kg
velocity of dog is u1 = 3.02 m/s (north)
mass of cat is m2 = 5.3 kg
velocity is u2 = 2.74 m/s (east )
Mass of owner is M = 65.1 kg
Consider the east direction along +x axis andnorth along +y
momentum of dog is Py = m1 x u1
= 79.124 kg.m/s (j)
momentum of cat is Px = m2 x u2
= 14.522 kg.m/s (i)
Then the net magnitude of momentum is P = (Px2 + Py2)1/2
= 80.445
Angle with the +x axis is θ =tan-1(Py / Px ) = 79.599 degree
Then the velocity of owner is v = P / M = 1.235 m/s
Mathematically we know that the position is the integral of the velocity as a function of time, that is, the general formula for determining the position as a function of velocity would be given by
![x(t) = x_0 +\int_0^t vdt](https://tex.z-dn.net/?f=x%28t%29%20%3D%20x_0%20%2B%5Cint_0%5Et%20vdt)
Here
represents the initial position, and the integral, the position with respect to the speed of the object within a certain time
Replacing and considering that there is no starting position,
![v(t) = -24](https://tex.z-dn.net/?f=v%28t%29%20%3D%20-24)
![x (t) = -24 \int dt](https://tex.z-dn.net/?f=x%20%28t%29%20%3D%20-24%20%5Cint%20dt)
![x(t) = -24t+C](https://tex.z-dn.net/?f=x%28t%29%20%3D%20-24t%2BC)
Answer:
Explanation:
Ptolemy and Copernicus have presented different model in front of us.
As per Ptolemy, Earth is the center of the universe and all other planets and celestial bodies such as moon or Sun revolve around it. So as per his theory he would say that the celestial would rotate in west side due to which Sun would appear in eastern horizon.
But Copernicus theory is a contradiction of Ptolemy's work. As per him, Sun is the center of the universe and all other planets revolve around it. For the Sun rise event, he would have said the Earth rotates at east side and Sun appears.