Physics, 27.06.2019 03:30 fonsworth5

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Answer from: MANTEQUILLA9670

Average = a + b + c + d ... / # of values

70 km/h = 50 km/h + x / 2

140 km/h = 50 km/h + x

90 km/h = x

Therefore, the train would have to travel 90 km/h the second half of its journey. The standard average formula I used to solve this ONLY works when you're dealing with equal weights (Each of the two parts of the journal is 50%). If you are faced with a problem in which the parts of the journey are not equal, you will have to use the formula for weighted average, which would be:

Average = x₁y₁ + x₂y₂ + x₃y₃ + ...

In which x = value and y = relative weight (percentage -> decimal)

You can still use this formula to solve your problem.

70 km/h = (50km/h)(0.50)+ x(0.50)

140 km/h = 50 km/h + x

90 km/h = x

Answer from: Quest

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

$f\alpha \frac{dp}{dt}$

⇒ $f= k \frac{dp}{dt}$

here k is the proportionality constant whose value is 1.

$f=\frac{dp}{dt}$

$f= \frac{d[mv]}{dt}$

$f= m\frac{dv}{dt} +v\frac{dm}{dt}$

$f=ma+v\frac{dm}{dt}$ [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.

Answer from: Quest

Ireally just need to get finished with precal! i’m really sorry i have to do this! hope this !

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