Question

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(c) One lorry travels from your town to another town. The lorry reaches a top speed of 90 km/h, but its average speed between the towns is only 66 km/h.

(ii) The journey between the towns takes 20 minutes. Calculate the distance between the towns.​

Answer 1

The kinematics can be found the distance between the cities is 22 km

Parameters

• The instantaneous speed v = 90 km / h

• Average speed v = 66 km / h ($\frac{1000m}{1 km}$) ($\frac{1 h}{3600 s}$ s) = 18.33 m / s

• Time t = 20 min ($\frac{60 s}{1 min}$) = 1200 s

To find

• Distance

Kinematics studies the movement of bodies and establishes relationships between the position, velocity and acceleration of bodies.

Velocity is defined by the relationship between position and time in an interval

               $v = \frac{\Delta x}{\Delta t}$  

in the case of a large time interval the speed is called average, if the time interval becomes very small the speed is called instantaneous.

In this, the truck has some maximum speed points, but throughout the time interval its average speed is 66 km / h, so we can use the average speed ratio to calculate the distance between the cities.

              $v = \frac{\Delta x}{\Delta t}$  

              Δx = v Δt

              Δx = 18.33  1200

              Δx = 2.2 10⁴ m

Let's reduce this distance to km

              Δx = 2 10⁴ m ($\frac{ 1 lm}{1000 m}$)

               Δx = 22 km

In conclusion using kinematics we can find the distance between the cities is 22 km

Learn more about average speed here:

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