A SCOOTER MOVING AT A SPEED OF 10M/S IS STOPPED BY BRAKES WHICH PRODUCE A UNIFORM ACCELERATION - 0.5 M/S . HOW MUCH DISTANCE COVERED BY SCOOTER BEFORE IT STOPS
Answers
Explanation:
A scooter moving at a speed of 10 m/s is stopped by applying brakes which produce a uniform acceleration of, -0.5 m/s2. How much distance will be covered by the scooter before it stops ? Thus, the distance covered is 100 metres
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QuEsTiOn :-
A scooter moving at a speed of 10 m/s is stopped by applying brakes which produce a uniform acceleration of 0.5 m/s, how much distance covered by scooter before it stops ?
AnSweR :-
- The distance covered by the scooter is 100 metres
Given :-
- Initial speed ( u ) = 10 m/s
- Final speed ( v ) = 0 m/s
- Acceleration ( a ) = -5 m/s²
To be calculated :-
Calculate the distance covered by the scooter before it stops.
Solution :-
According to the third equation of motion,
v² = u² + 2as
Where ,
- Initial speed = ( u )
- Final speed = ( v )
- Acceleration = ( a )
- Distance covered = ( s)
Now ,
➤ Putting the values in the third equation of motion
we get :
⇒ ( 0 )² = ( 10 )² + 2 × ( -0.5 ) × s
⇒ 0 = 100 - s
⇒ s = 100
⇒ s = 100/10
⇒ s = 100 m
Thus,
The distance covered by the scooter is 100 metres.
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➤ Extra shots :-
v = u + at ( first equation of motion )
s = ut + ½ at² ( second equation of motion )
v² = u² + 2as ( third equation of motion )
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