A soccer player is running at 6m/s. He then stumbled over an opponent's foot falling, in Rolling to a stop. This took four seconds. What it was his acceleration?

Respuesta :

-1.5m/s² or - 1.5ms¯2

Answer:

His acceleration was -1/5 m/s²

Step-by-step explanation:

We can find the acceleration by using the formula to find the final velocity in terms of initial velocity and acceleration and then solving for a. The formula is   V2 = V1 + (a)(t) where V2 is final velocity, V1 is initial velocity and t is time in seconds.

We are going to substitute the values given in the problem:

V2 = 0 m/s

V1 = 6 m/s

t = 4 seconds

[tex]V2=V1+at\\0=6+a4\\0=6+4a\\-6=4a\\-6/4=a\\-1.5=a[/tex]

Therefore, his acceleration was -1.5 m/s²

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