Mathematics, 12.07.2019 04:30 suttonfae336

The velocity of an object in meters per second varies directly with time in seconds since the object was dropped, as represented by the table. the acceleration due to gravity is the constant of variation. what is the acceleration due to gravity of a falling object? 4.9 9.8 10.2 19.6

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It is given to us that the velocity of an object in meters per second varies directly with time in seconds since the object was dropped, as represented by the table (which is not given to us). The acceleration due to gravity is the constant of variation. Now, we know, from basic physics that the value of the acceleration due to gravity in the SI unit is 9.8 m/s^2. Therefore, the second option is the correct option.

Answer from: tiny2007

Correct option is b) $\rm 9.8 \; m/sec^2$

Step-by-step explanation:

Given :

Table -

Time (sec) Velocity (m/sec)

0 0

1 9.8

2 19.6

3 29.4

4 39.2

Velocity varies directly with time.

Solution :

We know that,

$\rm v = u +at$ --- (1)

where, v is the final velocity in m/sec, u is the initial velocity in m/sec, a is the acceleration in $\rm m/sec^2$ and t is the time in sec.

So, from table we have

t = 1 sec, u = 0 m/sec, v = 9.8 m/sec

putting this values in equation (1), we get

9.8=0+a(1)

$\rm a = 9.8\;m/sec^2$

Therefore, option b) is correct.

For more information, refer the link given below

link

Answer from: Quest

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get $6x^{2} -3x$

and solving the given expression :

3x(2x-1)

$6x^{2} -3x$

since solving the expression using tiles and solving the expression algebraically we get the same answer

thus we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

Which is true regarding armando’s use of algebra tiles? he used the algebra tiles correctly. he did

Answer from: Quest

If there are four friends then each would get, 1.25 or 1 1/4. so this is how i solved 5 ÷ 4 = 1.25 . hope this ; )

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