Question

In order to pass a physical education class at a university, a student must run 1.0 mi in 12.5 min. After running for 10.0 min (assume constant speed), she still has 510 yd to go. What constant acceleration does she need over the final 510 yd in order to make it?

Answer 1

1 mile=1760 yards

First find the constant speed she was running at

speed=distance/time

to find distance subtract 1760-510=1250 yards

1250/10
with this answer divide it by 10 minutes

(125 yd/m)That will be our speed in yards per minute


Next she needs to make 510 yards in 2.5 minutes based on the info given

In order to complete the mile she will need to run 204 yards per minute

to get 204 just divide 510/2.5

acceleration = final velocity - initial velocity/change in time

For this problem treat your speed as velocity

204-125/2.5
This will be your acceleration needed
be sure to put your units (m/s^2)

Answer 2

IMPORTANT: Make sure you convert your final answer to meters and seconds

Answer 3

yeah