Question

A race track is made up of a rectangle shape 750 m by 500 m semi circles at each end. Marisol drives the track once at average speed of 140 kmh. Calculate the distance marisol travels

Answer 1

`d=3071m`

Explanation:

From the question we are told that:

Dimension Of rectangle

Length
`l=750m`

Breath
`b=500m`

Velocity
`v=140kmh`

Generally the equation for distance travel by Marsol once round the Circle is is mathematically given by

`d=2(l)+2(arc\ of\ the\ semi\ circle)`

`d=2(l)+2( 2\pi r ((\theta)/(360)))`

Where

`r=(b)/(2)`

`r=(500)/(2)=>250`

And

`\theta=180`

Therefore

`d=2(750)+2( 2\pi 250 ((180)/(360)))`

`d=3071m`