(a) Differentiate the position vector to get the velocity vector:
<em>r</em><em>(t)</em> = (3.00 m/s) <em>t</em> <em>i</em> - (4.00 m/s²) <em>t</em>² <em>j</em> + (2.00 m) <em>k</em>
<em>v</em><em>(t)</em> = d<em>r</em>/d<em>t</em> = (3.00 m/s) <em>i</em> - (8.00 m/s²) <em>t</em> <em>j</em>
<em></em>
(b) The velocity at <em>t</em> = 2.00 s is
<em>v</em> (2.00 s) = (3.00 m/s) <em>i</em> - (16.0 m/s) <em>j</em>
<em></em>
(c) Compute the electron's position at <em>t</em> = 2.00 s:
<em>r</em> (2.00 s) = (6.00 m) <em>i</em> - (16.0 m) <em>j</em> + (2.00 m) <em>k</em>
The electron's distance from the origin at <em>t</em> = 2.00 is the magnitude of this vector:
||<em>r</em> (2.00 s)|| = √((6.00 m)² + (-16.0 m)² + (2.00 m)²) = 2 √74 m ≈ 17.2 m
(d) In the <em>x</em>-<em>y</em> plane, the velocity vector at <em>t</em> = 2.00 s makes an angle <em>θ</em> with the positive <em>x</em>-axis such that
tan(<em>θ</em>) = (-16.0 m/s) / (3.00 m/s) ==> <em>θ</em> ≈ -79.4º
or an angle of about 360º + <em>θ</em> ≈ 281º in the counter-clockwise direction.
It's true IF ' m ' stands for mass and ' v ' stands for acceleration. Otherwise it's false.
You may have a cold if you do not feel well, depends on the symptoms
Answer:
The required total area is 1.48 m²
Explanation:
Given that,
Latitude = 44+° N
New Mexico,
Latitude= 35+° N
Heat capacity = 4200 J/Kg°C
Temperature = 60°C
Let us assume the input temperature 22°C
Estimate volume of water 100 ltr for 4 person.
We need to calculate the heat
Using formula of heat
Put the value into the formula
...(I)
Let solar radiation for 6 hours/day.
We need to calculate the total energy per unit area
Using formula of energy
Let the efficiency of collector is 50 %
Then, the total energy per unit area will be
....(II)
We need to calculate the required total area
Using equation (I) and (II)
Where, H = heat
E = total energy
Put the value into the formula
Hence, The required total area is 1.48 m²
Answer:
A 2.0 kg ball, A, is moving with a velocity of 5.00 m/s due west. It collides with a stationary ball, B, also with a mass of 2.0 kg. After the collision
Explanation: