The motion of the light is a uniform motion with constant speed
, therefore we can use the basic relationship between speed, space and time:
(1)
where S is the distance covered and t is the time taken. The light takes t=1.3 s to travel from the moon to Earth, therefore by rearranging eq.(1) we can find the distance between the Moon and the Earth:
To Find: Diameter of soap bubble =? Solution: By Laplace's law of spherical membrane for a bubble. (Pi– Po) = 4T / r.
Answer:
These findings led to the formation of the modern cell theory, which has three main additions: first, that DNA is passed between cells during cell division; second, that the cells of all organisms within a similar species are mostly the same, both structurally and chemically; and finally, that energy flow occurs within.
Explanation:
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The position is a cosine function, so the particle is at the origin
whenever the cosine is zero.
The first point where the cosine is zero occurs when the angle is π/2 .
That happens when √t = π/2 , so t = π² / 4 is the point where we need
the particle's speed.
Speed is the first derivative of the position.
The derivative with respect to 't' of cos(√t) is [ -1 / (2√t) sin(√t) ] . (chain derivative.)
The speed when [ t = π² / 4 ] is . . .
-1 / 2√(π² / 4) times sin(√(π² / 4)) = -(1 / π) times sin(π/2) = -(1/π) times (1) = -(1/π) .
The first time when the particle is at the origin, it's moving backwards,
into [ -x ] territory, and its speed is (1/π) = about 0.3183... . (rounded)
There you have its speed and direction, so you have its velocity.
