contestada

An object is dropped from a bridge. It is recorded to take 3.4 seconds to reach the ground. How high is the bridge? Assume the acceleration of gravity is 10m/sec2

Respuesta :

Answer:

The height of bridge is [tex]17\ m[/tex]

Explanation:

Given the time taken to reach the ground is [tex]3.4\ second[/tex]

And acceleration of gravity [tex]10\ m/s^2[/tex]

Also the initial velocity of the object [tex]u=0\ m/s[/tex]

The object is falling under the condition of free fall.

So, we can use the following formula for computing the distance when the object is under free fall.

Where [tex]S[/tex] is the height, [tex]t[/tex] is time of fall, and [tex]g[/tex] is acceleration of gravity.

[tex]S=\frac{gt^2}{2}\\\\S=\frac{10\times3.4}{2}\\S=17\ m[/tex]