Question

A car starting from rest acquires the speed of 20m/s in covering a distance of 100 m. Calculate the acceleration of the car

Answer 1

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Answer 2

✬ Acceleration = 2 m/s² ✬

Explanation:

Given:

• A car starting from rest (u) = 0 m/s
• Car acquires the final speed (v) after starting= 20 m/s
• Distance (s) covered by the car = 100 m.

To Find:

• What is the acceleration (a) of the car ?

Formula to be used:

• Newton's third law of motion
• v² = u² + 2as

Solution: Let the acceleration of car be a. Putting the given values on formula

$\implies{\rm }$ v² = u² + 2as

$\implies{\rm }$ (20)² = (0)² + 2 $\times$ a $\times$ 100

$\implies{\rm }$ 400 = 0 + 200a

$\implies{\rm }$ 400 = 200a

$\implies{\rm }$ 400/200 = a

$\implies{\rm }$ 2 m/s² = a

Hence, the acceleration of the car is 2 m/s².

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★ Other laws of motion ★

➱ v = u + at ( First law )

➱ v = u + 1/2at² ( Second law )

➱ V = Final Velocity :- The distance covered by an object in a given period of time.

➱ U = Initial Velocity :- The velocity of an object before the acceleration causes a change into it.

➱ T = Time