A boy jumps from rest, straight down from the top of a cliff. He falls halfway down to the water below in 0.883 s. How much time passes during his entire trip from the top down to the water

Respuesta :

Answer:

1.25 s

Explanation:

We are given that

Initial velocity of boy=u=0

Time=0.883 s

Let x be the total distance covered by boy in entire trip.

s=[tex]\frac{x}{2}[/tex]

We know that

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

Where [tex]g=10m/s^2[/tex]

Substitute the values

[tex]\frac{x}{2}=0\times 0.883+\frac{1}{2}(10)(0.883)^2[/tex]

[tex]\frac{x}{2}=3.898[/tex]

[tex]x=3.898\times 2=7.796[/tex]m

Again using the above formula

[tex]7.796=0(t)+\frac{1}{2}(10)t^2[/tex]

[tex]7.796=5t^2[/tex]

[tex]t^2=\frac{7.796}{5}=1.5592[/tex]

[tex]t=\sqrt{1.5592}=1.25 s[/tex]

Hence, 1.25 s passes during his entire tripe from the top down to the water.