If you drop an object from a height of 1.4 m, it will hit the ground in 0.53 s. If you throw a baseball horizontally with an initial speed of 35 m/s from the same height, how long will it take the ball to hit the ground?

Respuesta :

Answer:

The ball to hit the ground in 0.53 s.

Explanation:

Given that,

Height = 1.4 m

Time t = 0.53 s

Initial speed = 35 m/s

We need to calculate the time when the ball to hit the ground

Using equation of motion

[tex]s_{y}=u_{y}t-\dfrac{1}{2}gt^2+h_{0}[/tex]

Where, s= vertical height

u= vertical velocity

t = time

h = height

Put the value in equation

[tex]0=0-\dfrac{1}{2}\times9.8\times t^2+1.4[/tex]

[tex]t^2=\dfrac{1.4}{4.9}[/tex]

[tex]t=\sqrt{\dfrac{1.4}{4.9}}[/tex]

[tex]t=0.53\ s[/tex]

Hence, The ball to hit the ground in 0.53 s.