A ball is thrown vertically upward with an initial velocity of . The ratio of velocity after and is . The value of is ______. Take . [2023]

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Solution

Q.
A ball is thrown vertically upward with an initial velocity of $150 m/s$ . The ratio of velocity after $3 s$ and $5 s$ is $\frac{x + 1}{x}$ . The value of $x$ is ______. Take $(g = {10 m/s}^{2})$ . [2023]

1 6

2 5

3 - 5

4 10

Ans.
(2)

$\vec{v} = \vec{u} + \vec{a} t$

$V = 150 - 10 t$

$V (3) = 150 - 30 = 120$

$V (5) = 150 - 50 = 100$

$\frac{120}{100} = \frac{x + 1}{x} = \frac{6}{5} \Rightarrow x = 5$

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