Respuesta :
Answer:
s = 4.167 m
Explanation:
given,
height of the slide = 3.1 m
horizontal movement above swimming pool = 1.4 m
using energy conservation
[tex]m g h = \dfrac{1}{2} m v^2[/tex]
[tex]v= \sqrt{2gh}}[/tex]
[tex]v= \sqrt{2\times 9.8 \times 3.1}}[/tex]
[tex]v= \sqrt{60.76}}[/tex]
v = 7.79 m/s
using equation of motion
[tex]s = u t + \dfrac{1}{2}gt^2[/tex]
initial velocity is equal to zero
[tex]t = \dfrac{2s}{g}[/tex]
[tex]t = \sqrt{\dfrac{2\times 1.4}{9.8}}[/tex]
t = 0.535 s
Horizontal distance is equal to
distance = speed x time
s = 7.79 x 0.535
s = 4.167 m
No, mass of the person will not make any difference.
The horizontal distance should be 4.167 m.
Also, it does not have any difference in the mass of the person.
Calculation of the horizontal distance:
here we used the conversation of energy should be used
[tex]mgh = \frac{1}{2} mv^2\\\\v = \sqrt{mgh}\\\\ = \sqrt{2\times 9.8\times 3.1}\\\\ = \sqrt{60.76}\\[/tex]
= 7.79 m/s
Since initial velocity should be equivalent to zero
So,
t = [tex]\sqrt{2\times 1.4 \div 9.8}[/tex]
= 0.535s
Now the distance is
= 0.779 (0.535)
= 4.167 m
Learn more about the mass here: https://brainly.com/question/25144785
