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Marbles are exiting a container through a horizontal nozzle positioned 1.3 m above sandy ground. You notice that all the marbles land between 0.23 m and 0.41 m from the point directly below the end of the nozzle. What is the minimum initial speed of the marbles?

Respuesta :

Answer:

The minimum initial speed of the marbles are 2.6 m/s

Explanation:

Given that,

Height = 1.3 m

For vertical displacement,

We need to calculate the time

Using equation of motion

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

Put the value into the formula

[tex]1.3=\dfrac{1}{2}\times9.8t^2[/tex]

[tex]t=\sqrt{\dfrac{2\times1.3}{9.8}}[/tex]

[tex]t=0.51\ sec[/tex]

We need to calculate the minimum initial speed of the marbles

Using formula of speed

[tex]v=\dfrac{d}{t}[/tex]

Put the value into the formula

[tex]v=\dfrac{1.3}{0.51}[/tex]

[tex]v=2.6\ m/s[/tex]

Hence, The minimum initial speed of the marbles are 2.6 m/s

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