The final vertical velocity of the object is 705.6 m
Explanation:
Here we have to analyze the vertical motion of the object, which is a free fall motion, with constant acceleration of
towards the ground due to gravity.
Therefore, we can use the following suvat equation:
where
v is the final vertical velocity
u is the initial vertical velocity
is the acceleration
t is the time
Since the object is dropped,
u = 0
Therefore, the magnitude of the vertical velocity of the object after t = 72 seconds is:
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Answer:
50.2m/s
Explanation:
Using first equation of motion we have
V= u+gt
V= final speed
U= initial speed
So v = 1.2m/s + 9.8(5s)
50.2m/s
After one day, the rate of increase in Delta Cephei's brightness is;0.46
We are informed that the function has been used to model the brightness of the star known as Delta Cephei at time t, where t is expressed in days;
B(t)=4.0+3.5 sin(2πt/5.4)
Simply said, in order to determine the rate of increase, we must determine the derivative of the function that provides
B'(t)=(2π/5.4)×0.35 cos(2πt/5.4)
Currently, at t = 1, we have;
B'(1)=(2π/5.4)×0.35 cos(2π*1/5.4)
Now that the angle in the bracket is expressed in radians, we can use a radians calculator to determine its cosine, giving us the following results:
B'(1)=(2π/5.4)×0.3961
B'(1)≈0.46
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Answer : The chemical formula for the molecule is 
Explanation :
Molecular formula : It is the chemical formula which depicts the actual number of atoms of each element present in the compound.
Structural formula : It is a formula in which the lines are used between the bonded atoms and the atoms are also shown in the structural formula.
In the structural formula, the lines are used between the atoms.
As per given information of compound we conclude that, there are 4 carbon atoms, 9 hydrogen atoms and 2 oxygen atoms.
Thus, the chemical formula for the given molecule will be,
