Datermine A Constants A 200 m/s A 2840-kg test rocket is launched vertically fro

Question

Datermine A Constants A 200 m/s A 2840-kg test rocket is launched vertically from the launch pad. Its fuel (of negligible mass provides a thrust force so that its vertical velocity as a function of time is given by t) A +Bt, where A and Bare constants and tima is maasured from the instant the fuel is ignited. At the instant of ignition, the rocket has an upward acceleration of 2.00 m/s2 and 1.00 s later an upward velacity of 1.95 m/s Previous Answers Correct Part B Deternine B Subrriit Part C Al 4.80 s afler luel ignition, what is the acceleration of the rackel? Subrnit Part D At 4 80 s after fual ignitionwhat thrust forca doas the hurning fuel exert on it, assume no air rasistance? Express the thrust in newtons

Explanation / Answer

given

v(t) = At + Bt2

partA

at ignitate

a = 2 m/s2

dv/dt = 2 m/s2

d(At + Bt2 ) / dt = 2 m/s2

A+ 2*B*t = 2 m/s2

since t = 0,

A = 2 m/s2

partB

v(t) = At+Bt2

1.95 = 2*1 + B*(1)2

B = -0.05

part C

acceleration of the rocket at 4.80 s is,

dv/dt = A + 2*B*t = 2 + 2*-0.05 * 4.80 = 1.52 m/s2

part D

m*a = T - m*g

T = m*(a+g)

T = 2840 * (1.52 + 9.8)

T = 32148.8 N

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