All categories

3 years ago

g ) (62.44 pts.) Explain why a maximum or a minimum of occurs exactly when an inflection point occurs for

Physics

1 answer:

Ivan3 years ago

4 0

Answer:

we approach a maximum or minimum the values of the ordinate are closer and closer and when passing this point the values change their trend

Explanation:

The reason for this process occurs because as we approach a maximum or minimum the values of the ordinate are closer and closer and when passing this point the values change their trend if they were rising, they begin to fall and if they were falling they begin to rise. Therefore the maximum point is a point of inflection of the curve since its trend changes.

Another way of looking at this process is that mathematically the point where there is a maximum or a minimum corresponds to the point where the first derivative is equal to zero, this is the slope of the line is horizontal, so the points before after correspond to values with slope of different sign.

You might be interested in

Problem 5 A block of mass 3 kg slides on a horizontal, rough surface towards a spring with k = 500 N/m. The kinetic friction coe

vredina [299]

Answer:

Explanation:

given,

mass of block = 3 kg

spring constant k = 500 N/m

kinetic friction coefficient µk = 0.6

speed of block = 5 m/s

F = µk N

F = 0.6 x 3 x 9.8

F = 17.64 N

using energy conservation

$\dfrac{1}{2}mv^2=\dfrac{1}{2}kx^2+Fx$

$\dfrac{1}{2}\times 3 \times 5^2=\dfrac{1}{2}\times 500 \times x^2+17.64\times x$

250 x² + 17.64 x - 37.5 = 0

on solving

x = 0.354 m

graph is attached below

4 0

4 years ago

Read 2 more answers

The caste system is an example of

snow_lady [41]

Answer:

It is example of Closed system

7 0

3 years ago

) A cable car at a ski resort carries skiers a distance of 6.8 km. The cable which moves the car is driven by a pulley with diam

AveGali [126]

Answer:

womp

Explanation:

wompwomp

3 0

3 years ago

A car with mass 1500 kg moves with constant velocity of 36 m/s. The driver sees a group of cows in front and he immediately step

Crazy boy [7]

From laws of motion:

$S = ( \frac{v + u}{2} ) \times t$
Where S is the distance/displacement (as you would call it) which is unknown
v = final velocity which is 0m/s (this is because the car stops)
u = initial velocity which is 36m/s (from the data given)
t = time taken for the distance to be covered and it is 6s

Substitute the values, hence:
$S = ( \frac{0 + 36}{2} ) \times 6$
$S = (18) \times 6 \\ \\ S = 108m$

But this is merely the distance he travelled in the 6 seconds he was trying to stop the car.

Therefore, the distance between the car and the cows = 160-108
Distance = 52m

6 0

4 years ago

Why do soundwaves move faster than the ground than through the air

Sati [7]

Answer:

Particles of matter are packed more tightly in the ground than in the air

Explanation:

the reason is that sound waves are vibrations of the molecules of the medium: therefore, if the particles of the medium are closer together (as in solids), the vibrations can be transmitted faster, and the wave can travel faster

8 0

4 years ago