the fence posts around a large pasture are 2.5m apart. a horse starts running west beside the fence. when the horse passes the fifth fence post, your second hand is on the 9.0 mark. when the horse passes the fourteenth fence post, the second hand is on 11.5 seconds. what is the horse’s velocity?
I know the formula for velocity, and when I plug it in I get 1.
The answer isn't 1.
The posts are spaced 2.5 m apart so between the 5th and 15th post there are 9 spaces of 2.5 m each. 9*2.5 - 22.5 m.
distance = rate x time.
22.5 = rate x 2.5 seconds.
Solve for rate (velocity).
Well, it seems like we have a horse that's running at a velocity of 1 meter per second. But let's take a closer look at the situation:
Since the fence posts are 2.5 meters apart, we can calculate the distance traveled by the horse between the fifth and fourteenth fence post:
Distance = (number of fence posts) * (distance between fence posts)
Distance = (14 - 5) * 2.5
Distance = 9 * 2.5
Distance = 22.5 meters
Now, let's calculate the time it took for the horse to cover this distance:
Time = 11.5 seconds - 9.0 seconds
Time = 2.5 seconds
So, the horse covered a distance of 22.5 meters in 2.5 seconds. To find the velocity, we divide the distance by the time:
Velocity = Distance / Time
Velocity = 22.5 meters / 2.5 seconds
Velocity = 9 meters per second
Therefore, the horse's velocity is actually 9 meters per second, not 1! Looks like we had a little calculation mishap. Keep trotting along, my friend!
To find the horse's velocity, we need to divide the displacement by the total time taken. Let's break down the problem step by step:
Step 1: Calculate the displacement of the horse.
The horse passes the 14th fence post after passing the 5th fence post, which means it has covered a distance of (14 - 5) * 2.5m = 22.5m.
Step 2: Calculate the time taken by the horse.
From the information given, we know that the time difference between passing the 5th fence post and the 14th fence post is 11.5 - 9.0 = 2.5 seconds.
Step 3: Calculate the velocity.
Velocity = displacement / time
Velocity = 22.5m / 2.5s = 9 m/s
Therefore, the horse's velocity is 9 m/s.
To determine the horse's velocity, we need to use the formula for velocity:
Velocity = Distance / Time
We can find the distance the horse covers by counting the number of fence posts it passes and multiplying it by the distance between each fence post, which is given as 2.5m. In this case, the horse passes 14 - 5 = 9 fence posts.
Distance = Number of Fence Posts * Distance between Fence Posts
Distance = 9 * 2.5m
Distance = 22.5m
Next, we need to calculate the time it took for the horse to cover this distance. We are given two time measurements when the horse passed the 5th and 14th fence posts. The time difference between these two measurements is 11.5 - 9.0 = 2.5 seconds.
Time = 2.5 seconds
Now, we can plug these values into the formula for velocity:
Velocity = Distance / Time
Velocity = 22.5m / 2.5s
Velocity = 9 m/s
Therefore, the horse's velocity is 9 m/s.