Question

1. A body having uniform acceleration of 10 m
si has a velocity of 100 m/s. In what time the
velocity will be doubled
1.
8 2 . 105 3.12 s 1.14s​

Answer 1

▶ Solution :

Given :

Acceleration of the body = 10m/s$^2$

Initial velocity = 100mps

Final velocity = 200mps

To Find :

Time interval

Concept :

✏ Acceleration is defined as ratio of change in velocity to the time interval.

✏ Acceleration is a vector quantity.

✏ Acceleration can be positive, negative and zero.

Calculation :

$\leadsto\bf\:a=\dfrac{v-u}{t}\\ \\ \leadsto\sf\:10=\dfrac{200-100}{t}\\ \\ \leadsto\sf\:t=\dfrac{100}{10}\\ \\ \leadsto\boxed{\bf{\purple{time=10\:s}}}$

Answer 2

Aɴꜱᴡᴇʀ

➜ Time = 10 seconds

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Gɪᴠᴇɴ

➤ Acceleration of the body = 10 m/s²

➤ Velocity of the body = 100m/s

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ᴛᴏ ꜰɪɴᴅ

✭ Time taken by the body to double its velocity?

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Sᴛᴇᴘꜱ

Here let's use the formula v = u+at

Substituting the values,

$\begin{lgathered}\leadsto\tt{}v=u+at\\ \\ \leadsto\tt\:a=\dfrac{v-u}{t}\\ \\ \leadsto\tt\:10=\dfrac{200-100}{t}\\ \\ \leadsto\tt\:t=\dfrac{100}{10}\\ \\ \dashrightarrow{ \tt{\purple{time=10\:s}}}\end{lgathered}$

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$\huge\red{ \sf{} Additional \: Information}$

❍ Acceleration is a vector quantity.

❍ Acceleration is defined as ratio of change in velocity to the time interval.

❍ Acceleration can be positive, negative or zero.

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