Question

. A car accelerates from 6 m/s to 16m/s in 10 seconds. Calculate the acceleration of the car

Answer 1

Answer:

1 m/s²

Explanation:

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

• Initial velocity (u) = 6 m/s
• Final velocity (v) = 16 m/s
• Tim taken (t) = 10 seconds

We are asked to calculate the acceleration of the car.

Let's first understand about acceleration. Acceleration is defined as the rate of change in velocity. SI unit of acceleration is m/s². It is a vector quantity, that means it requires both magnitude and direction for its description. Negative acceleration is called retardation.

Now, coming back to the question! We can solve this question in two ways :

By using the acceleration formula :

$\longmapsto \bf { a= \dfrac{v-u}{t} }$

• a denotes acceleration
• v denotes final velocity
• u denotes initial velocity
• t denotes time

$\longmapsto \rm { a= \dfrac{16-6}{10} \; ms^{-2}}$

$\longmapsto \rm { a=\cancel{ \dfrac{10}{10}} \; ms^{-2}}$

$\longmapsto \bf { a= 1 \; ms^{-2}}$

∴ Acceleration of the car is 1 m/s².

$\rule{200}2$

By using the first equation of motion :

$\longmapsto \bf {v = u+ at}$

• v denotes final velocity
• u denotes initial velocity
• a denotes acceleration
• t denotes time

$\longmapsto \rm {16= 6+ 10a}$

$\longmapsto \rm {16-6= 10a}$

$\longmapsto \rm {10= 10a}$

$\longmapsto \rm {\cancel{\dfrac{10}{10}} =a}$

$\longmapsto \bf { 1 \; ms^{-2} = a}$

∴ Acceleration of the car is 1 m/s².