Question

A small 7.10kg rocket burns fuel that exerts a time-varying upward force on the rocket. This force obeys the equation F = A + Bt^2. Measurements show that at t = 0, the force is 121.0N, and at the end of the first 2.10s , it is 176.0N.

Part A
Find the net force on this rocket the instant after the fuel ignites.
Part B
Find the acceleration of this rocket the instant after the fuel ignites.
Part C
Find the net force on this rocket 4.10s after fuel ignition.
Part D
Find the acceleration of this rocket 4.10s after fuel ignition.

I found out that
A = 121.0 N
B = 12.5 N/s^2
Net Force = 51.42 N
Acceleration = 7.24 m/s^2
Part C and Part D is what I am having trouble with.

Answer 1

By the way, the A = 121.0 and B = 12.5 refers to the equation F=A+Bt^2, not Part A and Part B.

Answer 2

A, B, are correct.
a) and b) are also correct.

For part (c), the question is asking for the force, F(t) = A+Bt², using the values of A and B that you have found earlier, and t=4.1 s. F(4.1) should be over 300 m/s/s.
Once you have calculated the force, you can proceed to calculate the acceleration as in part b).

Answer 3

For Part C, I calculated it to be 331.125N, but am still getting a wrong answer. I know you said it was over 300, is that what you got too?

Answer 4

I have the same number as you have, but based on your values of A and B, which I found minor discrepancies. If it is a computer answer, you may want to recheck from there on.

Answer 5

Please show working