3. A car accelerates uniformly from rest and travels a distance of (100±1) m. If
the acceleration of the car is (6.5 ± 0.5) m/s², what would be its final velocity. together with its associated uncertainty, at the end of the distance covered?
Answers
Answer:
u=0ms–¹ a=6.5ms–² s =100mv=?
Given : A car accelerates uniformly from rest and travels a distance of (100±1) m.
the acceleration of the car is (6.5 ± 0.5) m/s²,
To Find : final velocity. together with its associated uncertainty,
Solution:
v² - u² = 2aS
=> v² - 0 = 2aS
=> v² = 2as
=> (v±Δv)² = 2 (6.5 ± 0.5)(100 ± 1)
=> v² = 2(6.5) 100
=> v² = 1300
=> v = 10√13 = 36.06 m/s
2Δv/v = Δa/a + ΔS/S
=> 2Δv / ( 10√13) = 0.5/6.5 + 1/100
=> 2Δv / ( 10√13) = 1/13 + 1/100
=> Δv = 5√13/13 + 5√13/100
=> Δv = 1.567
final velocity. together with its associated uncertainty 36.06 ± 1.567 m/s
Learn More:
Calculate the percentage error in measurement.
brainly.in/question/11911746
The mass of object is 37.6± 0.02gm .Estimate the percentage error ...
brainly.in/question/34854595