Question

A car starts from rest and accelerates as shown in the accompanying diagram. At what time would the car be moving with the maximum velocity?

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

Answer 1

Answer: (B)

$4seconds$

The car will continue to increase its velocity as long as the acceleration is positive and the instant at which the acceleration is negative, its velocity starts decreasing. Thus the car attain its maximum velocity at the instant the acceleration changes its direction. So, at $t=4seconds$, the car is moving with maximum velocity.