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

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

pythagoras' theorem

square root (-5^2+9^2)

square root (25+81)

square root (106)

angle is tan^-1(9/5)

neg x, pos y