Question

The world's fastest production sportscar has a top speed of 415 kmh-1(a)Convert this speed to ms-1.[ 1](b)The distance from London to Edinburgh is 403 miles. There are 1609 metres in a mile.How long would it take the car to travel from London to Edinburgh if it was able to travel at top speed? Give your answer to the nearest minute.[ 4](c)The International Space Station travels at 7.66 km s-1. In the time it takes the car to travel from London to Edinburgh, how far will the International Space Station have travelled?[ 2](d)Speed and velocity have different definitions in physics –yet both are measured in ms-1. Explain the difference

Answer 1

(a). The speed is 115.28 m/s.

(b). The time is 94 min.

(c). The International Space Station travels 43202.400 km.

(d). Speed is scalar quantity.

Velocity is vector quantity.

Step-by-step explanation:

Given that,

Top speed = 415 km/h

1 miles = 1609 m

(a). We need to calculate the speed in m/s

Using conversion of km/h to m/s

`v=415\ km/h`

`v=415*(5)/(18)`

`v=115.28\ m/s`

(b). We need to calculate the distance from London to Edinburgh in km

Using conversion for distance

`d=403\ miles`

Distance in meter,

`d=403*1609`

`d=648427\ m`

`d=648.427\ km`

We need to calculate the time

Using formula of time

`t=(d)/(v)`

Put the value into the formula

`t=(648.427)/(415)`

`t=1.56\ h`

`t=1\ hours 34\ min`

`t= 94\ min`

(c). Speed v' =7.66 km/s

v'=7660 m/s

In the time it takes the car to travel from London to Edinburgh,

We need to calculate the distance

Using formula of distance

`d'=v'* t`

Put the value into the formula

`d'=7660*94*60`

`d'=43202400\ m`

`d'=43202.400\ km`

(d). Speed :

Speed is equal to the distance divided by time.

It is scalar quantity.

Velocity :

Velocity is equal to the displacement divided by time.

It is vector quantity.

Hence, (a). The speed is 115.28 m/s.

(b). The time is 94 min.

(c). The International Space Station travels 43202.400 km.

(d). Speed is scalar quantity.

Velocity is vector quantity.