# Homework Help: Kinematics - Interpreting Graphs and deriving equations

1. Mar 21, 2016

### alexandria

1. The problem statement, all variables and given/known data

2. Relevant equations
average speed = total distance/total time
3. The attempt at a solution

24.

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 travelled 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

thank you :)

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2. Mar 21, 2016

### haruspex

Looks right.

3. Mar 21, 2016

Thanks :)