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jeyben [28]
3 years ago
10

Pls answer the question with explanation

Mathematics
1 answer:
adell [148]3 years ago
7 0

Answer:

a) 96m

b) 2 m/s^2

Step-by-step explanation:

The distance travelled in a velocity time graph as shown in the image is the area of the shape. As such, considering the first 14 seconds, the distance covered will be computed by finding the area of the shape.

Note that the shape to be considered ends t the 14 seconds mark. This shape is a trapezium. The area of  a trapezium is given as

A = 1/2(a + b) h

where a and b are the parallel sides of the trapezium and h is the height As such, the distance covered in the first 14 seconds

= 1/2 (14 + 10) * 8

= 4 * 24

= 96m

The acceleration after 4 seconds

Acceleration is the rate of change of velocity with time, at time 0 second, the velocity is also 0 but at time 4 seconds, the velocity is 8 m/s hence, the acceleration after 4 seconds

= 8/4

= 2 m/s^2

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MAVERICK [17]

Answer:

m=16

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :  3/4*m-3-(9)=0

Step 1: Simplify 3/4

Equation at the end of step 1: ((3/4 x m) - 3) - 9 = 0

Step2: Subtracting a whole from a fraction

Rewrite the whole as a fraction using  4  as the denominator :

        3     3 • 4

   3 =  —  =  —————

        1       4  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

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When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 3•(m-16)

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    4    

Now, on the left hand side, the  4  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  3  •  (m-16)  = 0

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This equation has no solution.

A a non-zero constant never equals zero.

Solve  :    m-16 = 0

Add  16  to both sides of the equation :

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3 years ago
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Step-by-step explanation:

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3 years ago
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Answer:

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Answer:

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Step-by-step explanation:

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