Question

If the change in velocity of a bike is 36km/h in 2 minutes, then what is it's acceleration?​

Answer 1

Answer:

Acceleration = 0.083 m/s²

Explanation:

As per the provided information in the given question, we have :

• Change in velocity (v - u) = 36 km/h
• Time taken (t) = 2 minutes

We are asked to calculate the acceleration of the bike. Here, we'll be using the formula of acceleration to solve this question. But, before commencing the steps, we need to convert the. given quantities in proper units i.e, change in velocity im m/s and time taken in seconds.

★ Converting change in velocity in m/s :

Here,

$\\ \longrightarrow \quad \sf {Change \; in \; velocity = 36 \; km/h }$

• 1 km/h = 5/18 m/s

$\\ \longrightarrow \quad \sf {Change \; in \; velocity = \Bigg ( 36 \times \dfrac{5}{18} \Bigg ) \; m/s }$

$\\ \longrightarrow \quad \sf {Change \; in \; velocity = ( 2 \times 5 ) \; m/s }$

$\\ \longrightarrow \quad \bf \underline {Change \; in \; velocity = 10 \; m/s }$

★ Converting time into minutes :

$\\ \longrightarrow \quad \sf { Time = 2 \; minutes }$

• 1 minutes = 60 seconds

$\\ \longrightarrow \quad \sf { Time = (2 \times 60) \; s }$

$\\ \longrightarrow \quad \bf \underline { Time = 120 \; s }$

★ Calculating acceleration :

As we know that,

$\\ \longrightarrow \quad \pmb{\boxed{\sf { a = \dfrac{v-u}{t} }}}$

• (v - u) denotes change in velocity
• t denotes time
• a denotes acceleration

Substituting values,

$\\ \longrightarrow \quad \sf { a = \dfrac{10}{120} \; m/s^2 }$

$\\ \longrightarrow \quad \sf { a = \dfrac{1}{12} \; m/s^2 }$

$\\ \longrightarrow \quad \bf \underline { Acceleration = 0.083 \; m/s^2 }$

Therefore, acceleration of the bike is 0.083 m/s².