Question

A boy, starting from rest, slides down a snowy hill on a sled. He travels 161.85 m to the bottom of the hill. He accelerates down the hill at 3.42 m/s². How long does it take the boy to get to the bottom of the hill?

Option A: 8.95 seconds
Option B: 10.62 seconds
Option C: 12.34 seconds
Option D: 14.78 seconds

Answer 1

The boy takes approximately 9.72 seconds to reach the bottom of the hill.

Step-by-step explanation:

To find the time it takes for the boy to reach the bottom of the hill, we can use the equation:

d = 0.5 * a * t^2

Where d is the distance traveled, a is the acceleration, and t is the time. We know that d = 161.85 m and a = 3.42 m/s². Plugging in these values, we can solve for t:

161.85 = 0.5 * 3.42 * t^2

Dividing both sides by 0.5 * 3.42:

t^2 = 161.85 / (0.5 * 3.42)

t^2 = 94.5

Taking the square root of both sides:

t = sqrt(94.5)

t ≈ 9.72 seconds

Therefore, the boy takes approximately 9.72 seconds to reach the bottom of the hill.