We will have the following:
First, the equation to use is the following:

Now, we transform the total distance the cat would need to travel:

So, the cat would need to travel 1.5 meters. ("d" in the equation).
Now, using the speed given we determine the time it would take the cat to traverse the 1.5 meters:

So, the time it would take the cat to traverse the distance will be approximately 3.33 seconds.
Now, we know that the acceleration will be given by Earth's gravity, so:


So, the initial vvelocity the cat must leave the floor in order to arrive at the butterfly with the optimum pouncing speed of 0.45 m/s is approximately 16.78 m/s or exactly 1007/60 m/s.
Answer:
a) 43.20V
b) 2.71W/s
c) 40.25s
d) 7.77Nm
Explanation:
(a) The emf of a rotating coil with N turns is given by:

N: turns
B: magnitude of the magnetic field
A: area
w: angular velocity
the emf max is given by:

(b) the maximum rate of change of the magnetic flux is given by:

(c) 
(d) The torque is given by:

In order to calculate the temperature, we need to know that temperature and pressure are directly proportional, that is, if the pressure increases, the temperature (in Kelvin) also increases in the same proportion.
So, first let's convert the temperature from Celsius to Kelvin, by adding 273 units:

Then, let's calculate the proportion:

Now, converting back to Celsius, we have:

So the temperature would be 166.5 °C.
Answer:
They have mass is always true.
Multiply the two. The units will cancel out. 22 miles per gallon can be expressed as 22 miles / 1 gallon, so you can write the following:
18 gallons * 22 miles / 1 gallon
Which simplifies to 18 * 22 miles = 396 miles.