Question

At what time would the car be farthest from its original starting position?

• A. $2seconds$
• B. $4seconds$
• C. $6seconds$
• D. $8seconds$

Answer 1

The correct option is D $8seconds$

According to graph

The area under the curve represents the change in velocity. The car begins from rest with an

increasing positive velocity, after 4 seconds the car begins to slow and the area under the curve

from 4 to 8 seconds couters the increase in velocity form 0 to 4 seconds, bringing the car to rest.

However, the car never changed direction and was moving away from its original starting

position the entire time.

So, the time

$t=8sec$

Therefore, The car would be the farthest from its original starting position at 8 second.

Hence, Option D is correct.