Need help with physics

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Science

Description

A plane has a takeoff speed of 88.3 m/s and requires 1365 m to reach that speed. Determine the acceleration of the plane and the time required to reach this speed.

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Explanation & Answer

vi = 0 m/s

vf = 88.3 m/s

d = 1365 m

Find:

a = ??

t = ??

vf2 = vi2 + 2*a*d

(88.3 m/s)2 = (0 m/s)2 + 2*(a)*(1365 m)

7797 m2/s2 = (0 m2/s2) + (2730 m)*a

7797 m2/s2 = (2730 m)*a

(7797 m2/s2)/(2730 m) = a

a = 2.86 m/s2

vf = vi + a*t

88.3 m/s = 0 m/s + (2.86 m/s2)*t

(88.3 m/s)/(2.86 m/s2) = t

t = 30. 8 s



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