Question

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

Answer 1

`0.28 m/s^2`

Step-by-step explanation:

Acceleration is given by

`a=(v-u)/(t)`

where

u is the initial velocity

v is the final velocity

t is the time interval

In this problem:

`u = 10 km/h \cdot (1000 m/km)/(3600 s/h)=2.78 m/s` is the initial velocity

`v = 8 km/h \cdot (1000 m/km)/(3600 s/h)= 2.22 m/s` is the final velocity

t = 2 s is the time

Substituting, we find the acceleration:

`a=(2.78-2.22)/(2)=0.28 m/s^2`