A car is accelerated uniformly from 36 km/hr to 54 km/hr in 10 sec. Find the acceleration and the distance traveled by the car during this interval of time
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Question :-
A train accelerates from 36 km/hr to 54 km/hr in 10 second. find acceleration and the distance travelled by car.
Answer:
⠀⠀
- Accleration = 5m/s²
- Distance = 125m.
⠀⠀
Given:
u) = 36 km/hr
v) = 54 km/hr⠀⠀
t) = 10 s
Here ,
u = Initial velocity
v = Final velocity
t = Time
⠀⠀
To find:
⠀What is the acceleration and distance ?
Solution :⠀⠀
Applying the formula :-
A. = ∆v/∆t
∆v = a × ∆t
Putting the values :- ⠀⠀
∆v = 54 – 36 = 18 km/hr.
Converting km /hr into m/s.
∆v = 18 × 1000/3600 m/s
= 5m/s
Therefore A = 5m/s²
Now , using second equation of motion :- ⠀⠀
= ut + 1/2at²
Here ,
s = Distance
u = Initial velocity
v = Final velocity
t = Time
Again putting values :-)
s = 10 × 10 + 1/2 × 5 × 10²
s = 125 m .
Hence ,
Acceration = 5m/s².
distance = 125 m .
___________________
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