Question

A ball is thrown vertically upwards. Which of the given graphs are correct? v, h and t represent velocity, height from ground, and time respectively.

• A.
• B.
• C.
• D.

Answer 1

Answer: (B), (C)

$v=u-gt-\left(1\right)$
The velocity starts from a positive value, and it decreases because of deceleration
Hence, option (c) is correct.
$h=ut-\frac{1}{2}g{t}^2-\left(2\right)$
Hence, option (b) is correct.
$v^2=u^2-2gh-\left(3\right)$
$\Rightarrow v^2+2g{\sqrt{h}}^2=u^2$
Therefore, the graph between $v$ and $\sqrt{h}$ will be a circle. So, option (d) is false.