What would be the final velocity for an airplane that starts at the beginning of a 4km runway with an initial velocity of 60 km/h accelerating at 1.2×104 km/h^2 if the pilot uses the entire runway before liftoff? A. 22.5×10^5 B. 1.0×10^5 C. 3.16×10^2 D. 9.6×10^4 PLEASE HELP I KEEP GETTING THE WRONG ANSWER
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Ответ:
2.12×10^-2hour
Explanation:
Acceleration is defined as the change in velocity of a body with respect to time.
Using one of the equations of motion:
S = ut + 1/2at²
Where S is the distance traveled by the airplane
u is the initial velocity
a is its acceleration
t is the time of travel
Given a = 1.2×104 km/h²
u = 60km/hr
t= ?
S = 4km
Substituting the values given into the formula to get 't'
4 = 60t+1/2(1.2×10⁴)t²
4 = 60t+0.6×10⁴t²
0.6×10⁴t²+60t-4= 0
Factorizing the quadratic equation
t = -b±√b²-4ac/2a
Where a= 6000 b = 60 c = -4
t = -60±√60²-4(6000)(-4)/2(6000)
t = -60±√3600+96000/12000
t = -60±√99600/12000
t = -60±315.6/12000
t = -60+315.6/12000
t= 255.6/12000
t = 0.0212hour
t = 2.12×10^-2hour
Ответ: