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To pass a physical education class at a university, a student must run 1.0 miles in 12 min. After running for 10min, she still has 500 yd to go. If her maximum acceleration is 0.15m/s2, can she make it? If the answer is no, determine what acceleration she would need to be successful.

Respuesta :

Answer:

yes.

Explanation:

distance to run = 1 mile

in time = 12 min

student is left will 500 yd to go in 2 min

maximum acceleration = 0.15 m/s² = 590.22 yard/min

1 mile=1760 yards

distance covered 1760-500=1260 yards

speed of the student = 1260/10 = 126 yr/minute

we know

[tex]s= ut + \frac{1}{2}at^2\\s= 126\times 2 + \frac{1}{2}\times 590.22\times 2^2\\s = 1,432 yrd[/tex]

when the student accelerate at 0.15 m/s² he can easily cover 500 yrd in 2

minutes.

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