Answer:
The recoil speed of Astronaut A is 0.26 m/s.
Explanation:
Given that,
Mass of astronaut A, 
Mass of astronaut B, 
Astronaut A pushes B away, with B attaining a final speed of 0.4, 
We need to find the recoil speed of astronaut A. The momentum remains conserved here. Using the law of conservation of linear momentum as :

So, the recoil speed of Astronaut A is 0.26 m/s.
TV announcer intend to mean "chnage of speed or velocity" by "High rate of speed" and in Physics domain it would mean "acceleration"
Explanation:
It is common to observe TV announcer saying certain events were occurring “with a high rate of speed”. By saying this they intend to mean that the event was rapid in its occurrence. It can also mean that the change in speed of the happening was very rapid/fast.
However, the same terms connote altogether a different expression in Physics domains. Speed is a scalar quantity with no direction. Hence most of the times speed mean velocity when the direction is also provided. “high rate of speed” would mean a change of velocity per unit time which is acceleration. Hence in Physics domain, the term would stand for acceleration.
Answer:
Weight is directly proportional to our mass and acceleration due to gravity of that planet
This part of the plane lies above a triangle with boundaries
and
along the coordinate axes, as well as the line

When
, we have
. So this triangle is the set

Also, when
, we have
. So the triangle has length 3 and width 5, hence area 1/2•3•5 = 15/2.
Let
. Then the area of the plane over
is

We have



since the integral

is exactly the area of
, 15/2.
Answer: D.
Explanation: Just took the quiz.