Question

A moving sidewalk in an airport terminal building moves at a speed of 1.0ms⁻¹ and is 35.0m long. If a woman steps on an one end and walks at 1.5ms⁻¹ relative to the moving sidewalk, then find the time that she requires to reach the opposite end:

When she walks in the same direction the sidewalk is moving?

Answer 1

To calculate the time it takes for a woman to walk the length of the moving sidewalk at the airport, sum her walking speed and the sidewalk's speed to find her effective speed relative to the ground, then divide the sidewalk's length by this effective speed.

Step-by-step explanation:

The question is asking to find the time it takes for a woman to reach the opposite end of a moving sidewalk if both she and the sidewalk are moving in the same direction. The sidewalk moves at 1.0 m/s, and its length is 35.0 m. The woman's walking speed relative to the moving sidewalk is 1.5 m/s.

To find the total time taken, we first need to calculate her effective speed relative to the ground, which is the sum of the speeds of the woman and the moving sidewalk. Therefore, the effective speed is 1.0 m/s + 1.5 m/s = 2.5 m/s. Next, we calculate the time taken to cover the distance of the moving sidewalk, using the formula time = distance/speed. Substituting the known values gives us time = 35.0 m / 2.5 m/s = 14.0 seconds.