Answer:
Vel_jet_r = (464.645 mph) North + (35.35 mph) East
||Vel_jet_r|| = 465.993 mph
Step-by-step explanation:
We need to decompose the velocity of the wind into a component that can be added (or subtracted from the velocity of the jet)
The velocity of the jet
500 mph North
Velocity of the wind
50 mph SouthEast = 50 cos(45) East + 50 sin (45) South
South = - North
Vel_ wind = 50 cos(45) mph East - 50 sin (45) mph North
Vel _wind = 35.35 mph East - 35.35 mph North
This means that the resulting velocity of the jet is equal to
Vel_jet_r = (500 mph - 35.35 mph) North + 35.35 mph East
Vel_jet_r = (464.645 mph) North + (35.35 mph) East
An the jet has a magnitude velocity of
||Vel_jet_r|| = sqrt ((464.645 mph)^2 + (35.35 mph)^2)
||Vel_jet_r|| = 465.993 mph
Answer:
2,500 different sets
Step-by-step explanation:
According to the scenario, calculation of the given data are as follows,
Let 4-digit PIN code be WXYZ
As first digit is a prime number
So, W = 1, 2, 3, 5, 7
n(W) = 5
X and Y are number from 0 - 9
So, n(X) = 10 & n(Y) = 10
Z makes the whole number divisible by 2.
So, Z must even number
So, Z = 0,2,4,6,8 or n(Z) = 5
We can calculate the number of different sets by using following formula,
n(W) × n(X) × n(Y) × n(Z)
By putting the value, we get
5 × 10 × 10 × 5 = 2,500
