PLEASE HELP! Thank you so much 2.] The velocity of an airplane as a function of

Question

PLEASE HELP! Thank you so much

2.] The velocity of an airplane as a function of time can be written as v(t)- bi - 3ct2j where b and c are positive constants. Provide your answers in terms of b, c, and t when necessary. [a] What are the SI units of b and c? b]| Find an expression for the position r(t) of the airplane as a function of time assuming that the airplane is at the origin at t 0. [c] Find an expression for the acceleration a(t) of the airplane as a function of time [d] Find the trajectory of the airplane (y vs. x)

Explanation / Answer

(A) b = m/s

C = m/s / (s^2) = m / s^3

(b) r = integral of v dt

r = b ti - c t^3 j

(c) a = dv/dt = 0i - 6 c t j

(d) x = b t

y = - c t^3

y = - c (x / b)^3

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