A race car traveling northward on a straight, level track at a constant speed travels 0.750km in 20.0s. The return trip over the same track is made in 25.0s. What is the average velocity of the car in m/s for the first leg of the run? What is the average velocity for the total trip
For the 1st leg of the run:
velocity(ave) = displacement/time= 750/20=37.5 m/s
For the total trip:
velocity(ave) = displacement/time= 0
speed (ave) = distance/time= 1500/45 =33.3 m/s
Oh, the race car wanted to take a detour on the return trip! Let's calculate its average velocity in m/s for the first leg and the total trip:
To find the average velocity for the first leg, we can use the formula: average velocity = total distance / total time.
The distance traveled in the first leg is 0.750 km, which is equal to 750 m (since 1 km = 1000 m).
The time taken for the first leg is 20.0 seconds.
Using the formula, the average velocity for the first leg is 750 m / 20.0 s = 37.5 m/s.
Now, to find the average velocity for the total trip, we need to consider both the first leg and the return trip.
The total distance for the round trip is 0.750 km + 0.750 km, which is equal to 1.500 km or 1500 m.
The total time for the round trip is 20.0 s + 25.0 s = 45.0 s.
Using the formula, the average velocity for the total trip is 1500 m / 45.0 s = 33.3 m/s (approximately).
So, the average velocity of the car for the first leg of the run is approximately 37.5 m/s, and for the total trip, it is approximately 33.3 m/s.
To find the average velocity, we can use the formula:
Average Velocity = Total Distance / Total Time
For the first leg of the run:
Total Distance = 0.750 km = 750 m
Total Time = 20.0 s
Average Velocity for the first leg = 750 m / 20.0 s = 37.5 m/s
For the total trip:
Total Distance = 2 * 0.750 km = 1.5 km = 1500 m
Total Time = 20.0 s + 25.0 s = 45.0 s
Average Velocity for the total trip = 1500 m / 45.0 s = 33.3 m/s
To find the average velocity of the race car for the first leg of the run, we need to divide the total displacement by the total time taken.
First, let's convert the distance travelled in the first leg from kilometers to meters:
0.75 km = 0.75 × 1000 meters = 750 meters
Now, we can calculate the average velocity for the first leg:
Average Velocity = Total Displacement / Total Time
Average Velocity = 750 meters / 20.0 seconds
Average Velocity = 37.5 m/s
Therefore, the average velocity of the car in m/s for the first leg of the run is 37.5 m/s.
To find the average velocity for the total trip, we need to find the total displacement and divide it by the total time taken.
The total displacement is zero since the car returns back to its original position after the round trip. Therefore, the total displacement is zero meters.
Now, let's calculate the average velocity for the total trip:
Average Velocity = Total Displacement / Total Time
Average Velocity = 0 meters / (20.0 seconds + 25.0 seconds)
Average Velocity = 0 m/s
Therefore, the average velocity for the total trip is 0 m/s because the car ends up at the same position after the round trip.