Question

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.

Answer 1

yes.

Step-by-step 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

`s= ut + (1)/(2)at^2\\s= 126* 2 + (1)/(2)* 590.22* 2^2\\s = 1,432 yrd`

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

minutes.