1. A person runs 800. m at an average speed of 6.00 m/s and then the next 800. m at an average speed of 8.00 m/s. Calculate (a) the total time of travel and (b) the average speed.
2. Sam travels by car from one city to another. He drives for 45.0 min at 95.0 km/h, 30.0 min at 100.0 km/h, and he spends 25.0 min eating lunch and buying gas. Determine (a) the total distance traveled and (b) the average speed for the entire trip.
Using
Distance = speed * time
(a)
Total time of travel
=800m/6s + 800m/8s
= 233.3s
(b)
Total distance = 800+800=1600m
Average speed = total distance/total time
=1600m/233.3s
= 6.86 m/s
Try #2 which is similar to #1.
To calculate the total time of travel and the average speed in both scenarios, we need to use the formulas:
Total time = Total distance / Average speed
Average speed = Total distance / Total time
Let's solve the first question:
1. The person runs 800 m at an average speed of 6.00 m/s and then the next 800 m at an average speed of 8.00 m/s.
(a) To find the total time of travel, we need to calculate the time it takes to cover each distance.
For the first 800 m:
Time1 = Distance1 / Speed1 = 800 m / 6.00 m/s
For the next 800 m:
Time2 = Distance2 / Speed2 = 800 m / 8.00 m/s
Total time = Time1 + Time2
(b) To find the average speed, we need to calculate the total distance and divide it by the total time.
Total distance = Distance1 + Distance2 = 800 m + 800 m
Average speed = Total distance / Total time
Now let's solve the second question:
2. Sam travels by car from one city to another. He drives for 45.0 min at 95.0 km/h, 30.0 min at 100.0 km/h, and he spends 25.0 min eating lunch and buying gas.
(a) To find the total distance traveled, we need to calculate the distance covered during each driving segment.
For the first segment:
Distance1 = Speed1 * Time1 = 95.0 km/h * (45.0 min / 60.0 min/h)
For the second segment:
Distance2 = Speed2 * Time2 = 100.0 km/h * (30.0 min / 60.0 min/h)
Total distance = Distance1 + Distance2
(b) To find the average speed for the entire trip, we need to calculate the total time taken for the trip.
Total time = Time1 + Time2 + Time spent eating lunch and buying gas
Average speed = Total distance / Total time
By plugging in the given values and performing the necessary calculations, you can find the answers to both questions.