What is the Net Force on a Helicopter at 5 Seconds?

AI Thread Summary
To find the net force on the helicopter at t=5.0 seconds, the position vector is given, and the user needs to derive acceleration from this position function. By differentiating the position vector with respect to time, the velocity can be obtained, followed by a second differentiation to find acceleration. The net force can then be calculated using F=ma, where 'm' is the mass of the helicopter. The user expressed confusion over the process and felt they were going in circles without a clear method to find acceleration from the position function. Clarifying the differentiation steps is essential for solving the problem effectively.
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The position of a 2.75x10^5N helicopter under test is given by

r=(0.020m/s^2)t^3i + (2.2m/s)tj - (0.060m/s^2)t^2k

Find the net force of the helicopter at t=5.0s express the vector F in the form Fx, Fy, and Fz

so far i plugged in 5.0 to each component in the r equation which gave me different masses: 2.5, 11.0, and 1.5

then i divided each mass by 5.0 to get velocity, then i plugged everything into the average accleration formula to get different accelerations, and then i finally used F=ma to plug into get different forces for Fx Fy and Fz
.. and it looks like I am just going in a huge circle. not sure how to do this.
 
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