The speed of the space craft relative to the earth is given as: 0.024c. This is solved using the the equation for time dilation.
<h3>
What is time dilation?</h3>
Time dilation is the "slowing down" of a clock as determined by an observer in relative motion with regard to that clock under the theory of special relativity.
The formula is given as :
Δt = [Δr]/ √ 1 - (v²/c²)
Thus,
v = c√1 - (Δr/Δt)²
= c √(1 - (3600/3601)²
v = 0.024c
Learn more about time dilation at:
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Answer:
The maximum volume is 1417.87
Explanation:
<u>Optimization Using Derivatives</u>
We have a 24x30 inch piece of metal and we need to make a rectangular box by cutting a square from each corner of the piece and bending up the sides. The width of the piece is 24 inches and its length is 30 inches
When we cut a square of each corner of side x, the base of the box (after bending up the sides) will be (24-2x) and (30-2x), width and length respectively. The volume of the box is
Operating
To find the maximum value of V, we compute the first derivative and equate it to zero
Simplifying by 12
Completing squares
We have two values for x
The first value is not feasible because it will produce a negative width (24-2(13.58))=-6.16
We'll keep only the solution
The width is
The length is
And the height
The maximum volume is
Well velocity is a vector quanity and we can brake vectors in to verticle and horizantal componontes threw these two formulas Vcostheta=Vx and Vsintheta=Vy
Answer:
D
Explanation:
Acceleration has both magnitude and direction. because velocity is vector quantity
average velocity is vector
linear momentum = mass× velocity
therefore it's also vector
force = mass× acceleration
acceleration is vector therefore force also vector
potential energy= mgh
energy in any form is scaler quantity therefore potential energy too is a scaler quantity.