Answer:
a) v_avg = k
b) 0.034 km/h
Step-by-step explanation:
a) The average velocity is given by the displacement over the time:
[tex]v_{avg}=\frac{\Delta x}{\Delta t}[/tex] (1)
Δx is the area under the line. In this case you can consider two areas. Firs, from t=0 t0 t=30 and from t=30 to t=50:
S1 = 30k
S2 = 20k/2 = 10k
Then, the total surface is:
S = S1+S2 = 50k
The average speed is:
v_avg = (50k)/(50s)= k
b) The value of k can be determined by using the expression for the total area under the line, which is the total displacement of the car S=1.7 km:
S=50k=1.7km
k=(1.7km)/(50k)=0.034km/h = 34 m/h
