A object is launched into the air vertically from ground level and hits the ground after 7 seconds. What was the maximum height of the object?

Understanding that, at the max height:
Velocity = 0 and Acceleration = 9.8

Respuesta :

Answer:

The maximum height of the object is 240.1 metres

Explanation:

Given:

time after which the object reaches the ground =  7 seconds

To Find:

Maximum height the object travelled = ?

Solution:

Free fall means that an object is falling freely with no forces acting upon it except gravity, a defined constant, g = -9.8 m/s2. Then the maximum height travelled by the object can be found by ,

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

where

h is the maximum height

g is acceleration due to gravity

t is the time taken

Substituting the known values,

[tex]h= \frac{1}{2}({9.8}\times{7^2})[/tex]

[tex]h= \frac{1}{2}({9.8}\times{49})[/tex]

[tex]h= \frac{1}{2}(480.2)[/tex]

h=240.1 metres