Physics, 19.09.2019 23:20 stressedmolly632

An astronaut on the moon throws a baseball upward. the astronaut is 6 ft, 6 in. tall, and the initial velocity of the ball is 30 ft per sec. the height s of the ball in feet is given by the equation s equals negative 2.7 t squared plus 30 t plus 6.5, where t is the number of seconds after the ball was thrown. complete parts a and b.

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Answer from: beck1013

89.803 ft

Explanation:

The complete question is written below:

An astronaut on the moon throws a baseball upward. The astronaut is 6ft, 6 in. tall and the initial velocity of the ball is 30 ft per second. The height s of the ball in feet is given by the equation,s=-2.7t^2+30t+6.5, where t is the number of seconds after the ball is thrown.

The ball will never reach a height of 100ft. How can this be determined algebraically?

We have the following equation that expresses the height as a function of time:

$s=-2.7t^{2}+30t+6.5$ (1)

Now, if we wan to find the maximum height the baseball reaches and prove it is less than 100 ft, we firstly have to find the time $t_{total}$ the whole parabolic movement lasts and then find $t_{smax}=\frac{t_{total}}{2}$ which is the time it takes the baseball to reach its maximum height.

So, if we want to calculate $t_{total}$ , this is fulfilled when s=0 , when the baseball hits the ground:

$0=-2.7t^{2}+30t+6.5$ (2)

This is a quadratic equation of the form $0=at^{2}+bt+c$ , and we have to use the quadratic formula if we want to find $t_{total}$ :

$t=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}$ (3)

Where a=-2.7 , b=30 , c=6.5

Substituting the known values and choosing the positive result of the equation:

$t_{total}=11.323 s$ (4)

Then we can calculate $t_{smax}$ :

$t_{smax}=\frac{t_{total}}{2}$ (5)

$t_{smax}=\frac{11.323 s}{2}$

$t_{smax}=5.661 s$ (6)

Substituting (6) in (1):

$s=-2.7(5.661 s)^{2}+30(5.661 s)+6.5$ (7)

s=89.803 ft (8) This is the maximum height the baseball reaches, as we can see it is less than 100 ft

Answer from: Quest

it is a negative acceleration

Answer from: Quest

answer

procedural programming, object-oriented programming

explanation

procedural programming is a type of computer programming language that specifies a series of well structured steps and procedures within its development period of time. it contains a systematic order of statements, functions and commands to complete a computational task or program. it is centered on creating procedures. while object oriented programming is a programming language that is centered on creating objects rather that actions and data rather than logic.. it has four principles which are inheritance, polymorphism, abstraction and encapsulation

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An astronaut on the moon throws a baseball upward. the astronaut is 6 ft, 6 in. tall, and the initia...

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