Question

A horse gallops a distance of 60 meters in 15 seconds. Then, he stops to eat some grass for 20 seconds. Next, he trots for 25 seconds over 60 meters. (The horse trots in the same direction he galloped.) Finally, the horse races home (back to its starting position), traveling 120 meters in 20 seconds. Calculate the horse’s average speed for the entire journey.

a) 2.0 m/s
b) 4.0 m/s
c) 3.0 m/s
d) 5.0 m/s Calculate the average velocity of the horse during the 25 seconds when it trotted 60 meters.

a) 2.4 m/s
b) 1.5 m/s
c) 2.0 m/s
d) 2.5 m/s

Answer 1

The horse's average speed for the entire journey is 4.0 m/s. The average velocity of the horse during the trotting phase is zero m/s.

Step-by-step explanation:

To calculate the horse's average speed for the entire journey, we need to find the total distance traveled and the total time taken. The horse galloped 60 meters in 15 seconds, trotted 60 meters in 25 seconds, and raced 120 meters in 20 seconds. So, the total distance traveled is 60 + 60 + 120 = 240 meters. The total time taken is 15 + 20 + 25 = 60 seconds. To find the average speed, we divide the total distance by the total time: 240 meters / 60 seconds = 4.0 m/s.

Now, to calculate the average velocity of the horse during the 25 seconds when it trotted 60 meters, we need to find the displacement and the time taken. Displacement is the change in position, which is zero in this case since the horse ended up at its starting position. So, the average velocity is zero meters per second.