Look at Prediction 1-1 in the lab manual and write down your prediction in your

Question

Look at Prediction 1-1 in the lab manual and write down your prediction in your lab manual for the motion described. Your TA will come by during the first few minutes of lab and check that you have written your prediction in your lab manual. For the same kind of motion described in the manual choose the correct answers below (select ALL that may apply).

The maxima (peaks) of the velocity graph correspond to the zeros of the force and acceleration graphs

All three graphs resemble each other

The force and the acceleration graph resemble each other and velocity graph is different.

The regions of constant force match with the regions of constant acceleration and correspond to the regions of linearly changing velocity

The regions of increasing velocity correspond to the regions of constant force and constant acceleration

The regions of constant force match with the regions of constant velocity and correspond to the regions of quadratically increasing acceleration

The maxima (peaks) of the force and acceleration graphs coincide in time and correspond to the minima of the velocity graph

Explanation / Answer

The following are the points given

The maxima (peaks) of the velocity graph correspond to the zeros of the force and acceleration graphs : for sinusoidal graphs, the maxima of the velocity graph will correspond to the zero of acceleration graph ( as derivative of velocity is acceleration ) , also, derivative of displacement is velocity so for maximum velocity, displacement has to be 0 for sinusoidal graphs

All three graphs resemble each other ( for sinusoidal graphs, all graph resemble each other as sin and cos graphs resemble each other)

The force and the acceleration graph resemble each other and velocity graph is different. : the force and the accel;eration graphs are exactly the same with different amplitudes as F = ma, but velocity graph would be shifter by 90 deg as cos and sin graphb have a phase difference of 90- deg

The regions of constant force match with the regions of constant acceleration and correspond to the regions of linearly changing velocity : F = ma, so constant force means constant acceleratino as well for constant mass. Also, integration of constant is a linearly changing graph, so graph of velocity vchanges linearly

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