Question

iii )A body starts from rest accelerate to a velocity of 20 m/s in a time of 10 s. Determine the

acceleration of the boy.​

Answer 1

Initial velocity,u=0 as the body starts from rest

Final velocity,v=20m/s

Time,t=10s

Acceleration=v-u/t

20-0/10=2 m/s^2

Answer 2

Given:

• A body starts from rest accelerate to a velocity of 20 m/s in a time of 10 s

To Find:

• The acceleration of the following body

Understanding the question

Here, we have given the initial velocity of the body , The final velocity of the body and the time interval So, now we have to apply the appropriate formulae to find the acceleration of the body with the given clues.

Solution:

We know that,

$\longrightarrow \tt \: v= u + at$

Where,

• u = Intial velocity (0m)
• v = Final velocity (20m)
• t = Time interval (10s)
• a = Acceleration

$\longrightarrow \tt \: at = v - u \: \: \: \\ \\ \\ \longrightarrow \tt \: a = \frac{ (v - u)}{t}$

• Substituting the values we get

$\longrightarrow \tt \: a = \frac{(20 - 0)}{10} \\ \\ \\ \longrightarrow \tt \: a = \cancel\frac{20}{10} \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \longrightarrow { \pink{ \boxed{\tt{a = 2 \frac{m}{s {}^{2} } }}}} \: \: \: \: \: \: \: \:$

Hence:

• The acceleration of the body is 2m/s²

____________________________________

More to know:-

• Acceleration refers to the rate of change of velocity
• Acceleration is also a vector quantity, as it includes both magnitude and direction
• SI unit of acceleration is m/s²