A girl on a bridge throws a rock
straight down at -12.5 m/s. It hits
the ground 38.4 m below.
How much time did it take?
(Unit = s)
Help please

Respuesta :

t = 1.3 s.

To solve this exercise we have to use the freefall equation t = (v-v₀)/g. v = 0 due the final velocity when the rock reach the ground is 0.

With v₀ = -12.5m/s and g = 9.8m/s²

t = -(-12.5m/s)/9.8m/s²

t = 1.3 s

The amount of time it will take to reach the ground is 1.3 secs

To get the time it will take, we will use the equation of motion expressed as:

[tex]v =u+gt[/tex]

v is the final velocity

u is the initial velocity

g is the acceleration due to gravity

t is the time taken

Given the following parameters

v = 0m/s

u = -12.5m/s

g = 9.8m/s²

Substitute the given parameters into the formula to get the time taken as shown:

[tex]0=-12.5 + (9.8)t\\12.5 = 9.8t\\t = \frac{12.5}{9.8}\\t = 1.3secs\\[/tex]

Hence the amount of time it will take to reach the ground is 1.3 secs

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