Question

Kate runs off of a 10 m tall building with a velocity of 8 m/s. How far away from the building did she land?

A. 16 meters
B. 32 meters
C. 40 meters
D. 64 meters

Answer 1

Kate lands approximately 11.44 meters away from the building.

Step-by-step explanation:

Kate runs off a 10 m tall building with a velocity of 8 m/s. To find the distance she lands from the building, we can use the equation:

x = vt

where:

• x is the distance she lands
• v is her velocity (8 m/s)
• t is the time it takes her to land

We need to find the time it takes her to land. Since she is falling vertically, we can use the equation:

d = 1/2gt^2

where:

• d is the distance fallen (10 m)
• g is the acceleration due to gravity (9.8 m/s^2)
• t is the time it takes to fall

Solving for t, we get:

t = sqrt(2d/g)

Substituting the values, we get:

t = sqrt(2*10/9.8) ≈ 1.43 s

Now we can find the distance she lands:

x = vt ≈ 8 m/s * 1.43 s ≈ 11.44 m

Therefore, Kate lands approximately 11.44 meters away from the building.