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