An olympic sprinter can run 100yd in 9.0s. At the same rate, how long would it take the sprinter to run 100m?
s₁ = 100 ya=91.44 m
v=s₁/t₁
t₂=s₂/v= s₂•t₁/s₁=
=100•9/91.44 =9.84 s
A motorist travels 80 km at 100 km/h , and 50 km at 75 km/h , what is the average speed for the trip ?
To convert yards to meters, we can use the conversion factor: 1 yard = 0.9144 meters.
Given that the sprinter can run 100 yards in 9.0 seconds, we can calculate the equivalent time it would take to run 100 meters.
First, let's convert 100 yards to meters:
100 yards * 0.9144 meters/yard = 91.44 meters
Now, we can set up a proportion to find the time it would take the sprinter to run 100 meters:
9.0 seconds is to 91.44 meters as x seconds is to 100 meters
Using the proportion, we can cross-multiply and solve for x:
9.0 seconds * 100 meters = 91.44 meters * x seconds
900 seconds = 91.44 * x
Dividing both sides of the equation by 91.44:
900 seconds / 91.44 = x seconds
x ≈ 9.839 seconds
Therefore, it would take the sprinter approximately 9.839 seconds to run 100 meters at the same rate.
To determine how long it would take the sprinter to run 100m, we need to convert yards to meters and calculate the equivalent time.
First, let's convert the distance from yards to meters. We know that 1 yard is equal to 0.9144 meters. So, to convert 100 yards to meters, we multiply 100 by 0.9144:
100 yards * 0.9144 meters/yard = 91.44 meters
Now that we have the equivalent distance in meters, we can calculate the time it would take for the sprinter to run 100 meters. Since we already know the time it takes for the sprinter to run 100 yards (9.0 seconds), we can set up a proportion:
100 yards / 9.0 seconds = 91.44 meters / x seconds
To solve for x, cross-multiply and then divide:
100 * x = 9.0 * 91.44
x = 9.0 * 91.44 / 100
Calculating this, we find:
x = 8.256 seconds
Therefore, at the same rate, it would take the sprinter approximately 8.256 seconds to run 100 meters.