Distance from home to store = 4 * 0.5 = 2 miles.
Time taken to return home = (2/12) * 60 =10 minutes.
Total distance traveled = 2 * 2 = 4 miles.
Total time taken = 30 + 10 = 40 minutes.
Average speed for entire trip = total distance / total time in hours.
ANSWER
4 ft
EXPLANATION
The velocity equation of the oscillating spring is given by the function.

To find the displacement function, we need to to Integrate the velocity function.


At time t=0, there was no displacement.
This implies that,




The displacement function then becomes,

To find the displacement over the first π seconds, we put

into the equation for the displacement to get,



.......................................................................................
Answer:
m = 35
Step-by-step explanation:
2m + m -15 = 90
3m -15 = 90
+15 +15
3m = 105
/3 /3
m = 35
To check the work just insert 35 for m:
2(35) + 35 -15 = 90
70 + 35 -15 = 90
105 - 15 = 90
90 = 90