As the plane heads toward Halifax, the wind speed supports the flight path
resulting in an overall improved speed
Conversely, during the return trip, the wind will resist the plane's motion, decreasing the net speed
The total journey lasts 13 hours
of which 2 hours was dedicated to the mathematics discussion
Consequently, the total flight time is 13 - 2 = 11 hours
Now we apply the formula to calculate the time for traveling to Halifax
Time needed to return
Let’s look at the total time
Here d = 3000 miles
By solving the derived quadratic equation
the plane's speed calculates to 550 mph
The result is -15.625 m/s².
Acceleration signifies the alteration of velocity over a specified duration. It can be calculated with this formula:
Where:
vf = final velocity
vi = initial velocity
t = time
Let’s examine the information provided in your query:
Initially, the vehicle was traveling at 25 m/s before coming to a halt. Thus, it was in motion and subsequently ceased moving, indicating that the final velocity is 0 m/s.
However, we notice that the problem does not provide a time value. We need to determine the time taken from when it was in motion to when it reached the traffic light located 20 m away.
The time can be calculated using the kinematics equation:
We derive the equation by substituting the known values first.
The duration from when it was in motion until it stopped is 1.6s. Now we can utilize this in our acceleration calculation.
It is important to note that the acceleration is negative, indicating the vehicle slowed down.
The essential principle for this question is Ohm’s Law: V=IR, I=V/R, R=V/I. Therefore, the answer is (3) Resistance, as it is inversely related to Current (I=V/R).
2*3.5 = 7m/s
You need to multiply the acceleration by the time (which must both be in seconds; if not, convert them to the same units).
