A car start from rest and after 20 sec it's velocity becomes 108kmh–¹ find the acceleration of car
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The answer is 1.5 m/S2.
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Given:-
→ Initial velocity of the car = 0
[as it starts from rest]
→ Final velocity of the car = 108km/h
→ Time taken = 20sec
To find:-
→ Acceleration of the car
Solution:-
Firstly, let's convert the final velocity of the car from km/h to m/s.
=> 1km/h = 5/18m/s
=> 108km/h = 108×5/18
=> 30m/s
Now, let's calculate the acceleration of the car by using the 1st equation of motion :-
=> v = u + at
Where:-
• v is final velocity of the body.
• u is initial velocity of the body.
• a is acceleration of the body.
• t is time taken.
=> 30 = 0 + a(20)
=> 30-0 = 20a
=> 30 = 20a
=> a = 30/20
=> a = 1.5m/s²
Thus, acceleration of the car is 1.5m/s² .
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