Two objects are dropped at the same time from heights of 0.49 m and 1.27 m. How long after the first object hits the ground does the second object hit the ground?

Respuesta :

Answer:

After 0.19288 sec second object hit the ground after hitting first object    

Explanation:

We have given two objects are dropped from at the same time from height 0.49 m and 1.27 m

As the object is dropped so its initial velocity will be zero u = 0 m/sec

For object 1 height h = 0.49 m

From second equation of motion

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

[tex]0.49=0\times t+\frac{1}{2}\times 9.8\times t^2[/tex]

[tex]t^2=0.1[/tex]

t = 0.31622 sec

For second object

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

[tex]1.27=0\times t+\frac{1}{2}\times 9.8\times t^2[/tex]

[tex]t^2=0.1[/tex]

t = 0.5091 sec

So difference in time = 0.5091-0.31622 = 0.19288 sec

So after 0.19288 sec second object hit the ground after hitting first object