Question

An object starting from rest travels with an acceleration of 6 m/s . What will be its velocity after 5s?

Answer 1

Answer :

➥ The final velocity after 5 sec = 30 m

Given :

➤ Intial velocity of an object (u) = 0 m/s

➤ Acceleration of an object (a) = 6 m/s

➤ Time taken (t) = 5 sec

To Find :

➤ Final velocity after 5 sec = ?

Solution :

Final velocity after 5 sec

From first equation of motion

$\tt{: \implies v = u + at}$

$\tt{: \implies v = 0 + 6 \times 5}$

$\tt{: \implies v = 0 + 30}$

$\tt{: \implies \green{ \underline{ \overline{ \boxed{ \purple{ \bf{ \: \: v = 30 \: m\: \: }}}}}}}$

Hence, the final velocity after 5 sec is 30 m.

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Some releted equations :

⪼ s = ut + ½ at²

⪼ v = u + at

⪼ v² = u² + 2as

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Answer 2

Given ,

Initial velocity (u) = 0 m/s

Acceleration (a) = 6 m/s²

Time (t) = 5 sec

As we know that , acceleration of the object is given by

$\boxed{ \tt{Acceleration \: (a) = \frac{v - u}{t} }}$

Thus ,

$\tt \mapsto 6 = \frac{v - 0}{5}$

$\tt \mapsto v = 6 \times 5$

$\tt \mapsto v = 30 \: \: m {s}^{ - 1}$

Hence , the velocity of object after 5 sec will be 30 m/s