A small 8.00 kg rocket burns fuel that exerts a time-varying upward force on the rocket (assume constant mass) as the rocket moves upward from the launch pad. This force obeys the equation F = A + Bt2. Measurements show that at t = 0, the force is 100.0 N, and at the end of the first 2.00 s, it is 150.0 N. (a) Find the constants A and B, including their SI units. (b) Find the net force on this rocket and its acceleration (i) the instant after the fuel ignites and (ii) 3.00 s after the fuel ignites. (c) Suppose that you were using this rocket in outer space, far from all gravity. What would its acceleration be 3.00 s after fuel ignition?

A small 8.00 kg rocket burns fuel that exerts a time-varying upward force on the rocket (assume constant mass) as the rocket moves upward from the launch pad. This force obeys the equation F = A + Bt2. Measurements show that at t = 0, the force is 100.0 N, and at the end of the first 2.00 s, it is 150.0 N. (a) Find the constants A and B, including their SI units. (b) Find the net force on this rocket and its acceleration (i) the instant after the fuel ignites and (ii) 3.00 s after the fuel ignites. (c) Suppose that you were using this rocket in outer space, far from all gravity. What would its acceleration be 3.00 s after fuel ignition?

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Question

A small 8.00 kg rocket burns fuel that exerts a time-varying
upward force on the rocket (assume constant mass) as the rocket
moves upward from the launch pad. This force obeys the equation
F = A + Bt2. Measurements show that at t = 0, the force is 100.0 N,
and at the end of the first 2.00 s, it is 150.0 N. (a) Find the constants
A and B, including their SI units. (b) Find the net force on this rocket
and its acceleration (i) the instant after the fuel ignites and (ii) 3.00 s
after the fuel ignites. (c) Suppose that you were using this rocket in
outer space, far from all gravity. What would its acceleration be 3.00
s after fuel ignition?

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