Respuesta :

Paounn

Answer:

[tex] \frac{9}{2} [/tex]

or

[tex]4.5[/tex]

depending if you want a decimal number or a fraction

Step-by-step explanation:

start replacing based on what you're given:

[tex]s = (10)( \frac{1}{2} ) + ( - 2)( \frac{1}{2} ) ^{2} [/tex]

at this point is just crunching numbers:

[tex]s = 5 - \frac{1}{2} = \frac{9}{2} = 4.5[/tex]

Answer:

[tex]s=\dfrac{19}{4}[/tex]

Step-by-step explanation:

Given:

  • [tex]u = 10[/tex]
  • [tex]a = -2[/tex]
  • [tex]t = \dfrac{1}{2}[/tex]

Substitute the given values into the given formula and solve for s:

[tex]\implies s=ut+\dfrac{1}{2}at^2[/tex]

[tex]\implies s=(10)\left(\dfrac{1}{2}\right)+\dfrac{1}{2}(-2)\left(\dfrac{1}{2}\right)^2[/tex]

[tex]\implies s=\dfrac{10}{2}-\dfrac{2}{2}\left(\dfrac{1}{4}\right)[/tex]

[tex]\implies s=5-\dfrac{1}{4}[/tex]

[tex]\implies s=\dfrac{20}{4}-\dfrac{1}{4}[/tex]

[tex]\implies s=\dfrac{19}{4}[/tex]

Solution

[tex]\textsf{Improper fraction}: \quad s=\dfrac{19}{4}[/tex]

[tex]\textsf{Mixed number}: \quad s=4\frac{3}{4}[/tex]

[tex]\textsf{Decimal}: \quad s=4.75[/tex]