The graph represents the distance a car travels over time while on the highway. What is the average velocity of the car? A) 28 km hr Eliminate B) 50 km hr C) 75 km hr D) 100 km hr
![The graph represents the distance a car travels over time while on the highway What is the average velocity of the car A 28 km hr Eliminate B 50 km hr C 75 km h class=](https://us-static.z-dn.net/files/df6/ee4fcad73ea9863d8001c5d7c19980e3.png)
answer is C
slope= (y2-y1)/(x2-x1)=(300 km-0km)/(4h-0h)=(300km)/(0 h)=75km/h
v=d/t= 150/2=75
Average velocity is given as the total displacement of an object over a given time interval
Average velocity = total displacement /time interval
consider the time interval t₁ = 0 to t₂ = 4
at t₁ = 0 , d₁ = 0 km
at t₂ = 4 , d₂ = 300 km
Δd = total displacement = d₂ - d₁ = 300 - 0 = 300 km
Δt = time interval = t₂ - t₁ = 4 - 0 = 4 h
average velocity is given as
V = Δd/Δt = 300/4 = 75 km/h
Hence the correct choice is
C) 75 km/hr