Question

question 1.
a toy car rolls 10 - meters in 5 seconds on the tile floor and 10 meters in 8 seconds on the carpet.
what is the cars speed on each surface, and which surface helps it maintain a constant speed better?
a. tile = 2 m/s; carpet = 1.25 m/s - tile helps maintain a constant speed better.
b. tile = 10 m/s; carpet = 8 m/s - carpet helps maintain a constant speed better.
c. tile = 2 m/s; carpet = 1.25 m/s - both surfaces give the same constant speed.
d. tile = 5 m/s; carpet = 10 m/s - carpet makes the car go faster.

Explanation:

Step1: Calculate speed on tile

Speed formula: \(v=\frac{d}{t}\). For tile, \(d = 10\) meters, \(t = 5\) seconds. So \(v_{tile}=\frac{10}{5}=2\) m/s.

Step2: Calculate speed on carpet

For carpet, \(d = 10\) meters, \(t = 8\) seconds. So \(v_{carpet}=\frac{10}{8}=1.25\) m/s.

Step3: Compare constancy

Since \(2>1.25\) and tile has higher speed (less change in speed over distance as distance is same \(10\)m but time difference is less significant in terms of speed constancy for tile compared to carpet)

Answer:

A. Tile = 2 m/s; Carpet = 1.25 m/s - Tile helps maintain a constant speed better.