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As part of an exercise program, a woman walks south at a speed of 2.8 m/s for 46 minutes. She then turns around and walks north a distance 3,132 m in 54 minutes . What is the woman's average speed in m/s during her entire motion

Respuesta :

Answer:

[tex]A_[avg}=1.81m/s[/tex]

Explanation:

From the question we are told that:

North Movement

Velocity[tex]V=2.8[/tex]

Time  [tex]t=46 minuites[/tex]

South movement

Distance [tex]d=3,132[/tex]

Time [tex]t'= 54 minutes[/tex]

Generally the equation for Average Velocity is mathematically given by

[tex]A_[avg}\]frac{Total distance}{Total time}[/tex]

Where

Total distance d_t

[tex]d_t=Souther\ distance\ traveled\ +Northern\ distance\ traveled[/tex]

[tex]d_t=(2.8*46*60)+(3132)[/tex]

[tex]d_t=10860[/tex]

An

Total Time

[tex]T=(46+54)60[/tex]

[tex]T=6000[/tex]

Therefore

[tex]A_[avg}=\frac{d_t}{T}[/tex]

[tex]A_[avg}=\frac{10860}{6000}[/tex]

[tex]A_[avg}=1.81m/s[/tex]

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