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Nostrana [21]
3 years ago
7

11.63 as a mixed number

Mathematics
1 answer:
Delicious77 [7]3 years ago
6 0
We have to show 11.63 as a mixed number.
11.63 = 11 + 0.63
0.63 = 63/100  
11.63 = 11 63/100
Answer:  11  63/100
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Answers:

Final velocity = 29 m/s

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========================================================

Work Shown:

The given data is

v_i = 20 \text{ m}/\text{s} = \text{initial velocity}\\\\a = 3 \text{ m}/\text{s}^2 = \text{acceleration}\\\\t = 3 \text{ s} = \text{time duration}\\\\

This leads to

v_f = v_i + a*t\\\\v_f = 20 + 3*3\\\\v_f = 20 + 9\\\\v_f = 29\\\\

The final velocity is 29 m/s.

----------

We can use that final velocity to find the distance traveled.

x = 0.5*(v_i+v_f)*t\\\\x = 0.5*(20+29)*3\\\\x = 0.5*(49)*3\\\\x = 24.5*3\\\\x = 73.5\\\\

The distance traveled is 73.5 meters.

----------

An alternative way to calculate the distance is to do this

x = \frac{(v_f)^2 - (v_i)^2}{2a}\\\\x = \frac{(29)^2 - (20)^2}{2*3}\\\\x = \frac{841 - 400}{6}\\\\x = \frac{441}{6}\\\\x = 73.5\\\\

Or you could do this

x = v_i*t + 0.5*a*t^2\\\\x = 20*3 + 0.5*3*3^2\\\\x = 20*3 + 0.5*3*9\\\\x = 60 + 13.5\\\\x = 73.5\\\\

For more information, check out the Kinematics equations.

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