Kinematics - Interpreting Graphs and deriving equations

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alexandria
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Homework Statement


Velocity-time graph of a truck: speed in km/h against time in h, 40 km/h from 0 to 0.5 h, 80 km/h from 0.5 to 1.5 h, 60 km/h from 1.5 to 2.0 h.


Homework Equations


average speed = total distance/total time

The Attempt at a Solution



24. [/B]

The shortest road distance from Toronto City Hall to the Shaw festival theatre in Niagara-on-the-Lake is 131 km.

a)

First I will calculate the area of each rectangle using this formula: A = l x w

d = (40 km/h) (0.5 h)

= 20 km

d = (80 km/h) (1.0 h)

= 80 km

d = (60 km/h) (0.5 h)

= 30 km

Total distance travelled:

total d = 20 km + 80 km + 30 km

total d = 130 km

We already know that the shortest road distance from Toronto City Hall to the Shaw festival theatre is 131 km. In 2 hours, the transport has traveled a total of 130 km, meaning it has just about reached the festival theatre.

b)

Average speed of the truck = total distance / total time

= 130 km / 2.0 h

= 65 km/h
please verify if my answer is correct.
thank you :)
 
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  • Velocity-time graph of a truck: velocity in km/h against time in h. Speed is 40 km/h from 0 to 0.5 h, 80 km/h from 0.5 to 1.5 h, and 60 km/h from 1.5 to 2.0 h.
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