On your wedding day you leave for the church 28 minutes before the ceremony is to begin, which should be plenty of time since the church is only 10.0 miles away. On the way, however, you have to make an unanticipated stop for construction work on the road. As a result, your average speed for the first 14 minutes is only 5.0 mi/h. What average speed do you need for the rest of the trip to get you to the church on time?

s1=v1•t1= 5•0.23=1.167 mi,

s2=10-1.167 = 8.833 m
v2=s2/t2=8.833/0.23 =38.4 mi/h

On your wedding day you leave for the church 36 minutes before the ceremony is to begin, which should be plenty of time since the church is only 12.0 miles away. On the way, however, you have to make an unanticipated stop for construction work on the road. As a result, your average speed for the first 18 minutes is only 5.0 mi/h. What average speed do you need for the rest of the trip to get you to the church on time?

where did you get the numbers .23 and -1.167 from?

It’s your wedding day and the distance from your house to the church is 10km and your wedding starts at 8:00 AM. If you ride a car (w/ an average velocity of 5m/s) starting at your house at 7:45AM, will you be late for your wedding?

To determine the average speed you need for the rest of the trip, we can start by calculating the distance traveled during the first 14 minutes.

First, let's convert the time into hours. Since there are 60 minutes in an hour, we divide 14 minutes by 60 to get 0.233 hours.

Therefore, the distance traveled during the first 14 minutes can be calculated by multiplying the average speed of 5.0 mi/h by the time of 0.233 hours:

Distance traveled = Average speed x Time
Distance traveled = 5.0 mi/h x 0.233 h
Distance traveled = 1.165 miles

Now, we need to calculate the remaining distance to the church. The total distance to the church from your starting point is given as 10.0 miles. Therefore, the remaining distance can be calculated by subtracting the distance traveled during the first 14 minutes from the total distance:

Remaining distance = Total distance - Distance traveled during first 14 minutes
Remaining distance = 10.0 miles - 1.165 miles
Remaining distance = 8.835 miles

Since you have 28 minutes for the entire trip and you've already spent 14 minutes, you have 28 - 14 = 14 minutes left for the remaining distance.

To calculate the average speed you need for the rest of the trip, divide the remaining distance by the remaining time:

Average speed = Remaining distance / Remaining time
Average speed = 8.835 miles / (14 minutes / 60 minutes per hour)
Average speed = 8.835 miles / 0.233 hours
Average speed = 37.84 mi/h

Therefore, to get to the church on time, you would need an average speed of approximately 37.84 mi/h for the rest of the trip.