A rock is thrown downward at a speed of 8.5 m/s and hits the ground 2.25 seconds later. From what height was the rock thrown? What was the velocity of the rock the moment it hit the ground?

Respuesta :

Answer:

The velocity and height is 31 m/s and 44.4 m respectively .

Explanation:

Given :

Initial speed of rock , u = 8.5 m/s .

Time taken to reach ground , t = 2.25 s .

Also , acceleration due to gravity is , [tex]g=10\ m/s^2[/tex] .

Now , to find the velocity when it hit ground .

Applying equation of motion :

[tex]v=u+at\\v=8.5+10\times 2.25\\v=31\ m/s[/tex]

Also , height from which rock is thrown is given by :

[tex]h=ut+\dfrac{at^2}{2}\\\\h=8.5\times 2.25+\dfrac{10\times 2.25^2}{2}\\\\h=44.4\ m[/tex]

Hence , this is the required solution .