QUESTION IMAGE
Question
guided practice
example: a car is driving along a straight highway. it travels 800 m in 35 sec. what is the cars average velocity?
change in distance:
change tin time:
average velocity:
independent practice
question 1
example: a car is driving along a straight highway while someone records the cars position at different points in time. what is the cars average velocity from t = 2 seconds to t = 3 seconds?
what we know
time t(s) position x(m)
0 0
1 5
2 10
3 15
solve and show your work:
Step1: Identify change in distance
The car's position at $t = 2$ s is $x_1=10$ m and at $t = 3$ s is $x_2 = 15$ m. The change in distance $\Delta x=x_2 - x_1$.
$\Delta x=15 - 10=5$ m
Step2: Identify change in time
The initial time $t_1 = 2$ s and the final time $t_2=3$ s. The change in time $\Delta t=t_2 - t_1$.
$\Delta t=3 - 2 = 1$ s
Step3: Calculate average velocity
The formula for average velocity $v_{avg}=\frac{\Delta x}{\Delta t}$.
$v_{avg}=\frac{5}{1}=5$ m/s
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5 m/s