Question

A car achieves a speed of 40m/s by undergoing uniform acceleration of 5m/s² in 3 seconds find initial speed of the car?​

Answer 1

the initial speed of the car is 25 m/s.

Answer 2

Answer:

$\Huge{\textbf{\textsf{{\purple{Ans}}{\pink{wer}}{\color{pink}{:}}}}}$

AnswEr :

The initial speed of the car is 25 m/s.

Given :

Final speed of car = 40 m/s.

Acceleration of the car = 5 m/s².

Time taken by car = 3 sec.

Unknown :

The initial speed of the car = ?

Calculations :

⠀

Here in this question we are asked to find out the initial speed of the car, and we are given with final speed of car, acceleration produced by car and time taken by car, let's solve our problem and understand the steps to get our final answer!

⠀

Given that the car achieves a speed of 40 m/s and moves with an acceleration of 5m/s² in 3 sec.

⠀

We have to calculate the final velocity of the car. It can be calculated by using the equation of motion.

⠀

We can easily derive the equations of motion by algebraic, calculus & by graphic method.

⠀

We know that, the first equation of motion, that is,

⠀

• v = u + at

⠀

[Here, v is the final speed, u is the initial speed, a is the acceleration produced and t is the time taken by the car.]

⠀

So let's calculate initial velocity of car (u) !

⠀

→ v = u + at

→ 40 = u + 5 × 3

→ 40 = u + 15

→ 40 - u = 15

→ -u = 15 - 40

→ -u = -25

→ u = 25

Hence, the initial speed of the car is 25 m/s.