contestada

You are running at a speed of 10km/h and hit a patch of mud. Two seconds later you speed is 8km/h. What is your acceleration in units of m/s^2

Respuesta :

Answer:

[tex]0.28 m/s^2[/tex]

Explanation:

Acceleration is given by

[tex]a=\frac{v-u}{t}[/tex]

where

u is the initial velocity

v is the final velocity

t is the time interval

In this problem:

[tex]u = 10 km/h \cdot \frac{1000 m/km}{3600 s/h}=2.78 m/s[/tex] is the initial velocity

[tex]v = 8 km/h \cdot \frac{1000 m/km}{3600 s/h}= 2.22 m/s[/tex] is the final velocity

t = 2 s is the time

Substituting, we find the acceleration:

[tex]a=\frac{2.78-2.22}{2}=0.28 m/s^2[/tex]

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