Question

A bicycle I creases it's velocity from 10km/hr to 15 km/hr in 30 secs. Calculate ita acceleration

Answer 1

Answer:

Given:

Initial Velocity = 10 km/hr

Final Velocity = 15 m/s

Time taken = 30 seconds

To find:

Acceleration of the bicycle

Concept:

First of all , we shall be considering tge acceleration of the bi-cycle to be constant . Since this constant acceleration is necessary to increase the speed , we can apply the equations of Kinematics .

Conversion:

10 km/hr = 10×(5/18) = 2.77 m/s

15 km/hr = 15×(5/18) = 4.16 m/s

Calculation:

From 1st equation of Kinematics , we can say that :

$v = u + at$

$= > a= \dfrac{(v - u)}{t}$

$= > a = \dfrac{(4.16 - 2.77)}{30}$

$= > a = 0.0463 \: m {s}^{ - 2}$

So final answer :

Acceleration is 0.04632 m/s²

Answer 2

SoluTion :

✴ Given :-

• Initial velocity of bicycle = 10kmph
• Final velocity of bicycle = 15kmph
• Time interval = 30s

✴ To Find :-

• Acceleration of bicycle

✴ Concept :-

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

✴ Conversation :-

• 1kmph = 5/18mps
• 15kmph = 4.17mps
• 10kmph = 2.78mps

✴ Calculation :-

$\implies\sf\:a=\dfrac{v-u}{t}\\ \\ \implies\sf\:a=\dfrac{4.17-2.78}{30}\\ \\ \implies\:\boxed{\sf{\pink{\large{a=0.046\:ms^{-2}}}}}$

✴ Additional information :-

• Acceleration is a vector quantity.
• Accelerataion has both magnitude as well as direction.
• Acceleration can be positive, negative and zero.