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

Respuesta :

Answer:

[tex]d=3071m[/tex]

Step-by-step explanation:

From the question we are told that:

Dimension Of rectangle

Length [tex]l=750m[/tex]

Breath [tex]b=500m[/tex]

Velocity [tex]v=140kmh[/tex]

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

 [tex]d=2(l)+2(arc\ of\ the\ semi\ circle)[/tex]

 [tex]d=2(l)+2( 2\pi r (\frac{\theta}{360}))[/tex]

Where

 [tex]r=\frac{b}{2}[/tex]

 [tex]r=\frac{500}{2}=>250[/tex]

And

 [tex]\theta=180[/tex]

Therefore

 [tex]d=2(750)+2( 2\pi 250 (\frac{180}{360}))[/tex]

 [tex]d=3071m[/tex]

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