Question

A car starts from rest and accelerates as shown in the accompanying diagram. At what time would the car be the farthest from its original starting position?

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

Answer 1

The correct option is B $4seconds$

Area under curve of given diagram gives the velocity.

Clearly that form $0$ to $2$ area is $+$ve and from $2$ to $4$ area is also$+$ve but from $4$ to $8$ sec area is negative.

Hence maximum area is from $0$ to $4$ sec

then maximum velocity is at $t=4$ sec