A car accelerates uniformly from 36 km h to 72 km h in 5 sec calculate acceleration and distance cover by car in that time
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Given :
Initial velocity, u = 36 km/s = 10 m/s
Final velocity, v = 72 km/h = 20 m/s
Time, t = 6 seconds
To find :
Acceleration, a &
Distance covered, s
According to the question,
➞ v = u + at
Where,
v = Final velocity
u = Initial velocity
a = Acceleration
t = Time
➞ 20 = 10 + a × 6
➞ 20 - 10 = 6a
➞ 10 = 6a
➞ 10 ÷ 6 = a
➞ 1.67 = a
So,the acceleration is 1.67 m/s².
Now,
➞ s = ut + ½ at²
Where,
s = Distance
a = Acceleration
u = Initial velocity
t = Time
➞ s = 10 × 6 + ½ × 1.67 × 6 × 6
➞ s = 60 + 1.67 × 3 × 6
➞ s = 60 + 30.06
➞ s = 90.06
So,the distance covered by the car is 90.06 meter.
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