Calculate Horse Motion Problem: Vavg & Velocity

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In summary, the conversation discusses the calculation of average speed and velocity for a horse that canters away from its trainer in a straight line for 140 m in 10.0 s and then turns abruptly and gallops halfway back in 4.9 s. The average speed is calculated to be 14.14 m/s, but there is confusion about the calculation of the average velocity for the entire trip. The conversation suggests considering the concept of average speed and velocity, and the difference between vector and magnitude.
  • #1
kp87
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A horse canters away from its trainer in a straight line, moving 140 m away in 10.0 s. It then turns abruptly and gallops halfway back in 4.9 s.

(a) Calculate its average speed.
(b) Calculate its average velocity for the entire trip, using "away from the trainer" as the positive direction.

I got a right by Vavg=(V+Vo)/2 [(140/10)+(70/4.9)]/2 and got 14.14 m/s.
so I was thinking that for part B it would be [(140/10)-(70/4.9)]/2 and got -.143... and it is wrong...

can anyone help me?
 
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  • #2
First of all ask yourself these questions: "What is an average speed?" Speed is not a vector, it's a magnitude =). What two variables does it depend on? The second asks for the average velocity for the entire trip meaning it's a vector.

Think about these and it should come a little bit more clearly.
 
  • #3
thx a lot :0
 

1. How do you calculate the average velocity of a horse?

To calculate the average velocity of a horse, you need to divide the total distance traveled by the total time taken. This will give you the average speed at which the horse is moving.

2. What is the formula for calculating velocity?

The formula for calculating velocity is: velocity = displacement / time. This means that velocity is equal to the distance traveled divided by the time taken to cover that distance.

3. Can you calculate the velocity of a horse in motion?

Yes, it is possible to calculate the velocity of a horse in motion. You will need to measure the distance traveled by the horse and the time taken to cover that distance. Then, you can use the formula velocity = displacement / time to calculate the velocity.

4. How do you convert velocity from m/s to mph?

To convert velocity from meters per second (m/s) to miles per hour (mph), you can use the conversion factor of 2.237. Multiply the velocity in m/s by 2.237 to get the equivalent velocity in mph.

5. What factors can affect the velocity of a horse?

The velocity of a horse can be affected by various factors such as the horse's fitness level, the terrain it is running on, the rider's weight, and the horse's breed and age. Other external factors like weather conditions and equipment used can also impact the horse's velocity.

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