An auto moves 10 meters in the first second of travel, 15 more meters in the next second, and 20 more meters during the third second. The acceleration of the auto is A) 3.33 m/s². B) 9.8 m/s². C) 30 m/s². D) 5 m/s². E) zero m/s².

Question

Quizplus · Accepted Answer

The auto's acceleration can be calculated using the formula:

acceleration = (final velocity - initial velocity) / time

Let's first find the auto's initial velocity. From the problem, we know that the auto moves 10 meters in the first second of travel. Therefore, its initial velocity is:

initial velocity = distance / time = 10 meters / 1 second = 10 m/s

Next, we need to find the auto's final velocity after 3 seconds of travel. We can do this by adding up the distances traveled in each second:

distance traveled in second 1 = 10 meters 
distance traveled in second 2 = 15 meters 
distance traveled in second 3 = 20 meters

total distance traveled = 10 + 15 + 20 = 45 meters

final velocity = distance / time = 45 meters / 3 seconds = 15 m/s

Now we can calculate the acceleration:

acceleration = (final velocity - initial velocity) / time 
acceleration = (15 m/s - 10 m/s) / 3 seconds = 5 m/s^2

Therefore, the answer is D) 5 m/s^2.

An Auto Moves 10 Meters in the First Second of Travel