Question

A car moving at a speed of 50 m/ s . Driver accelerates the car and increases the speed from 50m/s to 200m/s in 10 seconds. Find the acceleration of car​

Answer 1

Answer:-

15 m/s²

Explanation:-

Given:

Initial velocity (or) Speed (u) = 50 m/s²

Final Velocity (or) Speed(v) = 200 m/s²

Time taken (t) = 10 seconds.

We know that,

$acceleration = \frac{v - u}{t} \\ \\ a = \frac{200 - 50}{10} \\ \\ a = \frac{150}{10} \\ \\ a = 15 \: {ms}^{ - 2}$

Therefore, the acceleration of the car is 15 m/s².

Answer 2

Given :

• Inital Velocity (u) = 50m/s

• Final Velocity (v)= 200m/s

• Time = 10 seconds

To Find :

• Acceleration of car

Solution :

$\star \boxed{ \sf \: Acceleration = \frac{Change \: in \: Velocity }{Time \: taken \: for \: change}}$

Now,

The change in velocity is the difference between the final velocity and the initial velocity. That is,

$\dag \sf \: Change \: in \: Velocity = Final \: Velocity \: - \: Inital \: Velocity$

$\star \boxed{ \sf \: Acceleration = \frac{Final \: Velocity - Initial \: Velocity }{Time \: taken \: for \: change}}$

$\longrightarrow \sf a = \dfrac{200 - 50}{10}$

$\longrightarrow \sf a = \cancel\dfrac{150}{10}$

$\longrightarrow \sf a =15m {s}^{ -2}$

Hence,Acceleration Produced is 15 metres per second square.