A car travels along a straight road to the east for

100 meters in 4 seconds, then has to turn around

and goes back west for 50 meters in 1 second.

Determine average speed and average velocity.

Respuesta :

Answer: 90 m/s, 70 m/s

Explanation:

Given

A car travels 100 m  east for 4 seconds and then turn around

goes back west for 50m  in 1 sec

Distance traveled in the east is [tex]100\times 4=400\ m[/tex]

Distance traveled in the west is [tex]50\times 1=50\ m[/tex]

Total distance[tex]=400+50=450\ m[/tex]

total displacement[tex]=400-50=350\ m[/tex]

total time [tex]t=4+1=5\ s[/tex]

Average speed

[tex]\Rightarrow s_{avg}=\dfrac{\text{distance}}{\text{time}}=\dfrac{450}{5}\\\\\Rightarrow s_{avg}=90\ m/s[/tex]

Average velocity

[tex]\Rightarrow v_{avg}=\dfrac{\text{displacement}}{\text{time}}=\dfrac{350}{5}\\\\\Rightarrow v_{avg}=70\ m/s[/tex]