Respuesta :

[tex] \bf \underline{ \underline{Given : }}[/tex]

  • Time taken by freely falling apple = 5.6 seconds

  • Initial velocity,u = 0 m/s [ Rest ]

  • Acceleration due to gravity,g = 9.8 m/s² [ Constant value ]

[tex] \bf \underline{ \underline{To \: be \: calculated : }}[/tex]

Calculate the height covered by a freely falling apple drop in 5.6 seconds.

[tex] \bf \underline{ \underline{Solution : }}[/tex]

According to the Second equation for free falling body

[tex] \sf{h = ut + \frac{1}{2} gt {}^{2} }[/tex]

[tex] \sf \red\star \: {Substituting \: the \: values}...[/tex]

[tex] \sf\implies \:h = 0 \times 5.6 + \dfrac{1}{ \cancel{2}} \times \cancel{ 9.8} \times {(5.6)}^{2} [/tex]

[tex] \sf\implies \: h = 0 + 4.9 \times 31.36[/tex]

[tex] \sf\implies \: h = 153.66 \: m[/tex]

[tex] \sf\therefore \: Height \: covered \: by \: an \: apple \: is \: 153.66 \: m.[/tex]

The freely falling apple will drop 153.67 m in 5.6 secs when released from rest

For An apple at rest :

Initial velocity ( u ) = 0 m/s

free fall acceleration ( due to gravity ) (g) = 9.8 m/s²

Time travelled by apple ( t )  = 5.6 s

To determine the how far the apple will travel after been released

we will apply this formula

[tex]S = ut + 1/2 gt^2[/tex]

S = 0 ( 5.6 ) + 1/2 * ( 9.8 ) * ( 5.6 )²

   = 153.67 m

Hence we can conclude that the freely falling apple will drop 153.67 m when released from rest.

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