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Let us try and answer this quest by using a bullet or shell fired from a gun.

The projectiles maximum speed is at the point of leaving its casing. From that moment it begins to be slowed by air pressure in front of the projectile and also curves towards the earth attracted by gravity.

Point of interest. The rifling of a guns barrel does not make the projectile go faster. It makes it spin so that it travels straighter and not tumble like the old none spinning projectiles.

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Q: At what point or points in its path does a projectile have its minimum speed and its maximum?
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At what part of a path does a projectile have minimum speed?

The projectile have minimum speed when it is in top of prabolic and it have max sped when it is in intial point


What is a data point that is located away from most other points?

A maximum or a minimum - collectively known as an extremum.


Does every graph of a cubic function have relative maximum and minimum points?

No, since the equation could be y = x3 (or something similar) which will have a point of inflection at (0,0), meaning there is no relative maximum/minimum, as the graph doesn't double back on itself For those that are unfamiliar with a point of inflection <http://mathsfirst.massey.ac.nz/Calculus/SignsOfDer/images/Introduction/POIinc.png>


What best describes an extreme value of a polynomial?

An "extreme value" is either a local maximum, or a local minimum - i.e., a point which is greater than all the points in a certain neighborhood, or less than all points in a certain neighborhood.


Is it always true that for any polynomial px if x is a zero of the derivative then x px is a maximum or minimum value of px?

No. The important decider is the second derivative of the polynomial (the gradient of the gradient of the polynomial) at the zero of the first derivative: If less than zero, then the point is a maximum If more than zero, then the point in a minimum If equal to zero, then the point is a point of inflection. Consider the polynomial f(x) = x3, then f'(x) = 3x2 f'(0) = 0 -> x = 0 could be a maximum, minimum or point of inflection. f''(x) = 6x f''(0) = 0 -> x = 0 is a point of inflection Points of inflection do not necessarily have a zero gradient, unlike maxima and minima which must. Points of inflection are the zeros of the second derivative of the polynomial.

Related questions

With out air pressure at what point or points in its path does a projectile have its minimum speed and its maximum?

A projectile experiences its maximum speed at the moment it is launched or released and its minimum speed at the highest point in its trajectory, which is when it momentarily stops moving upward before beginning to fall back down due to gravity.


What are the maximum and minimum points of a wave called?

The maximum point of a wave is called the crest, and the minimum point is called the trough.


How do you know if a point is a maximum or a minimum?

Usually at the minimum or maximum of a function, one of the following conditions arises:The derivative is zero.The derivative is undefined.The point is at the end-points of the domain that is being considered (or of the naturally-defined domain, for example, zero for the square root).This will give you "candidate points"; to find out whether each of these candidate points actually is a maximum or a minimum, additional analysis is required. For example, if the second derivative is positive, you have a minimum, if the second derivative is negative, you have a maximum - but if it is zero, it may be a maximum, a minimum, or neither.


At what part of a path does a projectile have minimum speed?

The projectile have minimum speed when it is in top of prabolic and it have max sped when it is in intial point


What is a data point that is located away from most other points?

A maximum or a minimum - collectively known as an extremum.


What is the extreme point called on a parabola?

The vertex, or maximum, or minimum.


What is the maximum or minimum point called?

A maximum or minimum is generally referred to as an extrema.


What is the minimum point in a tennis match?

15 points is the minimum points


What do crests and troughs have in common?

Crests and troughs are both characteristic features of waves. A crest is the point on a wave with the maximum positive amplitude, while a trough is the point with the maximum negative amplitude. Together, they represent the maximum and minimum points of a wave's oscillation.


How can use a box-and-whisker plot to find the range of a data set?

The leftmost point is the minimum value.The rightmost point is the maximum value.The difference between them is the range.The leftmost point is the minimum value.The rightmost point is the maximum value.The difference between them is the range.The leftmost point is the minimum value.The rightmost point is the maximum value.The difference between them is the range.The leftmost point is the minimum value.The rightmost point is the maximum value.The difference between them is the range.


What is the vertical velocity of a projectile at the lowest point in trajectory?

The vertical velocity of a projectile at the lowest point in its trajectory is zero. This occurs because at that point, the projectile has reached the maximum height and is momentarily stationary before it starts descending.


What happens to the velocity of a projectile at its maximum height?

The velocity of a projectile at its maximum height is zero. This is because at the highest point of the projectile's trajectory, all of its initial kinetic energy has been converted into potential energy, causing the velocity to momentarily become zero.