Respuesta :
Answer:
(a). The average speed is 97.23 km/hr.
(b). The average velocity is 81.70 km/min.
Explanation:
Given that,
Distance in east = 14.5 km
Distance in south = 66.5 km
Time = 50 min = 0.833 hr
(a). We need to calculate the average speed
Using formula of average speed
[tex]v_{avg}=\dfrac{D}{T}[/tex]
Where, D = total distance
T = total time
Put the value into the formula
[tex]v_{avg}=\dfrac{14.5+66.5}{0.833}[/tex]
[tex]v_{avg}=97.23\ Km/hr[/tex]
(b). We need to calculate the displacement
Using Pythagorean theorem
[tex]d=\sqrt{(d_{e})^2+(d_{s})^2}[/tex]
Put the value into the formula
[tex]d=\sqrt{(14.5)^2+(66.5)^2}[/tex]
[tex]d=68.06\ km[/tex]
(b). We need to calculate the average velocity
Using formula of average velocity
[tex]v_{avg}=\dfrac{d}{t}[/tex]
Where, d = displacement
t = time
Put the value into the formula
[tex]v_{avg}=\dfrac{68.06}{0.833}[/tex]
[tex]v_{avg}=81.70\ km/min[/tex]
Here, We can not necessary to find the unit vectors for displacement because we need to the displacement for find the average velocity.
Hence, (a). The average speed is 97.23 km/hr.
(b). The average velocity is 81.70 km/hr.
