Question

A lions speed was timed over a 50 meter distance. The lion was clocked at 83 km per hour. Write a relationship between the distance m and k, the lion runs.

A) D = 83k (where D is the distance in meters)
B) D = 50k (where D is the distance in meters)
C) D = 83k/50 (where D is the distance in meters)
D) D = 50/83k (where D is the distance in meters)

Answer 1

The relationship between the distance (D) that the lion runs and the time (k) it takes can be determined using the formula: d = vt, where d is the distance, v is the velocity, and t is the time. Given that the lion's speed was clocked at 83 km/h, we can convert this speed to meters per second (m/s) by using the conversion factor: 1 km/h = 1000 m/3600 s. This gives us: 83 km/h = 83,000 m/3600 s = 23.06 m/s. Now, we can substitute the velocity and time into the formula to get the distance: D = (23.06 m/s)k. So, the correct answer is Option A) D = 83k, where D is the distance in meters and k is the time in seconds.

Step-by-step explanation:

The relationship between the distance (D) that the lion runs and the time (k) it takes can be determined using the formula:

d = vt

Where d is the distance, v is the velocity, and t is the time.

Given that the lion's speed was clocked at 83 km/h, we can convert this speed to meters per second (m/s) by using the conversion factor: 1 km/h = 1000 m/3600 s. This gives us:

83 km/h = 83,000 m/3600 s = 23.06 m/s

Now, we can substitute the velocity and time into the formula to get the distance:

D = (23.06 m/s)k

So, the correct answer is Option A) D = 83k, where D is the distance in meters and k is the time in seconds.