Question

A ball is thrown vertically upward from the top of a cliff. Take the starting position of motion as origin and upward direction as positive. Column I specifies the position, velocity and /or acceleration of the particle at any instant. Column II given their signs $(+)$ or $(-)$ at that moment. Match the columns
$\begin{array}{cc}\text{Column I}& \text{Column II}\\ \text{i.When the ball is above the point}& \text{a. always positive}\\ \text{of projection, its displacement is}& \\ \text{ii. When the ball is above the point}& \text{b. always negative}\\ \text{of projection, its velocity is}& \\ \text{iii. When the ball is above the point}& \text{c. May be positive or may be}\\ \text{of projection, its acceleration is}& \text{negative}\\ \text{iv.When the ball is below the point}& \text{d. may be zero}\\ \text{of projection, its acceleration is}& \end{array}$

• A. $i.\to c,ii.\to b,iii.\to a,iv.\to b.$
• B. $i.\to a.,ii.\to c.,iii.\to a,iv.\to d.$
• C. $i.\to a.,ii.\to c.,iii.\to b.,iv.\to b.$
• D. $i.\to b,ii.\to c.,iii.\to a,iv.\to b.$

Answer 1

The correct option is C $i.\to a.,ii.\to c.,iii.\to b.,iv.\to b.$

$i.\to a.,ii.\to c.,iii.\to b.,iv.\to b.$
When the ball is above the point of projection, its displacement is always positive, but its velocity may be positive (when moving up), zero (at top point) or negative (when coming down).
Acceleration is always directed downward, so it is always negative.