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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